The TSA Is using an experimental computer to randomly select airline passengers for additional screening. Each person has a 0.7% chance of being selected. They test the new computer until 10 passengers are chosen for the additional screening, and then they remove it. Let the random variable be the number of passengers who pass through security until 10 are stopped for additional screening.
Is the number of passengers who pass through security in this time a binomial random variable?
Select all that apply
A. Yes. All four conditions are met.
B. No. There is not a fixed number of trials
C. No. The trials cannot reasonably be assumed to be independent.
D. No. The outcomes cannot be described as only "success" and-failure."
E. No. The probability of success is not the same for each trial

Answers

Answer 1

Answer:

B. No. There is not a fixed number of trials

Step-by-step explanation:

Binomial random variable:

Can only have two outcomes(yes/no questions).

Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

It's probabilities must be between 0 and 1.

Is the number of passengers who pass through security in this time a binomial random variable?

For each person, there are only two possible outcomes. Either they are screened, or not. However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. So, since there is not a fixed number of trials, this is not binomial, and the answer is given by option B.


Related Questions

Mr. McMurry wants to get a gym membership. Planet fitness charges $25 a month. Everyday Fitn
charges membership fee of $30 and charges $10 a month. How many months would it take for E
options To be equal?
Equation

Solution

Answers

Answer:

pp

Step-by-step explanation:

490 as a product of its prime factors

Answers

Answer:

2×5×7²

Step-by-step explanation:

You will start by using the factor tree.

490

^

2 245

^

5 49

^

7 7

Mark was working on the long jump competition, and he was able to jump 9 3/4 feet. Chris jumped 7/8 as far as Mark. write and solve the equation that will help you fight how far Chris jumped. explain the steps you took to solve problem. THIS URGENT PLEASE HELP!!​

Answers

Answer:

10 5/8

Step-by-step explanation:

9 3/4 + 7/8 = 9 6/8+7/8=

10 5/8

The distance jumped by Chris in total would be as follows:

[tex]10\frac{5}{8}[/tex]

Find the distance

Distance is denoted as the space that one covers from a particular place to the other.

Given that,

The distance jumped by Mark [tex]= 9\frac{3}{4}[/tex] feet

The distance jumped by Chris [tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

So,

The total distance covered by Chris would be:

[tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

[tex]= \frac{7}{8} + \frac{39}{4}[/tex]

[tex]=[/tex] [tex]\frac{(7 + 78)}{8}[/tex]

 [tex]= \frac{85}{8}[/tex]

[tex]=[/tex] [tex]10\frac{5}{8}[/tex]

Thus, [tex]10\frac{5}{8}[/tex] is the correct answer.

Learn more about "Fraction" here:

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Help please with this
Look at picture
Complementary angles

Answers

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

HELP PLS ASAP!!!

these figures are congruent. What series of transformations moves quadrilateral FGHI onto quadrilateral F’G’H’I’?

Answers

Answer:

D

Step-by-step explanation:

It must first translate 1 unit to the left because quadrilateral F'G'H'I is one unit away from to y axis. It can then translate across the y-axis.

Answer:

ITS B!

Step-by-step explanation:

Ape x!

please help asap with work!!!! thank you

Answers

Answer:

answer is C

Step-by-step explanation:

midpoint = ((x¹ + x²)÷2 , (y² +y²)÷2)

example:

((-4+2)÷2 , (-15+-1)÷2)

= ((-2÷2) , (-16÷2))

=(-1 , -8)

Dr. Ballard refers to Earth as a ‘living breathing creature’- do you think he meant for us to take this literally?

Answers

Answer:

I don't think so.

Step-by-step explanation: I think he just wanted us not to take advantage of earth and treat earth like a living creature

Write another expression equivalent to 2(x + 3) please answer i will make you brainliest

Answers

Answer:

2x + 6

Step-by-step explanation:

distribution

plz mark branliest

Fifty tickets were sold for the lottery. Jackson bought five tickets. What are the chances he will win?

Answers

Answer:

1/10 chances or 5/50.....

4 yards to 30 inches write each ratio in simplest form

Answers

Answer:

24:5

Step-by-step explanation:

4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5

A person who weighs 65 pounds on earth will weigh 169 pounds on the planet Jupiter. How much will a person weigh on Jupiter who weighs 45 pounds on earth?
ANSWER ASAP

Answers

Answer:

117

Step-by-step explanation:

science

Answer:

117 pounds

Step-by-step explanation:169 pounds divided by 65 pounds is 2.6

So that means that we would need to multiply 45 by 2.6. So 45 multiplied by 2.6 is 117 pounds.

which of these show equivalent fractions? A. 1/4=4/8 B. 1/2=2/4 C. 3/5 = 5/10 D. 2/3 = 3/6​

Answers

B because 1/2 is the same as 2/4

7

Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches

long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.

Helppp

Answers

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.

If the kidneys filter 20% of medication

Answers

Answer:

Estimated glomerular filtration rate is the best test to measure ... stage of kidney disease and helps the doctor plan your treatment. If ... If your GFR number is low, your kidneys are not working as well as ... 20–29, 116.

Step-by-step explanation:

you have to study

NEED ASAP
According to the results in the chart, what is the experimental probability of getting a number greater than 3 on the die? 3 over 12 6 over 12 9 over 12 8 over 12

Answers

Answer:

3 over 12

Step-by-step explanation:

3 over 12

Answer: 3/12

Step-by-step explanation:

56 = n - 33.


N = __?​

Answers

56 + 33 = n

n = 89

whew
n=89 i hope that helps!:)

Mr. Spencer wants to rent a car.He has two deals:
Deal A: rent Tesla with initial fee of$75 and
$25 fee each day
Deal B: rent Porsche with no initial fee and $50 each day
Help Mr.Spencer to select a better deal.

Answers

Answer:

The answer is depending on how long he us going to rent the car. If Spencer wants to rent the car for less than 150 days, the Porsche is cheaper for that. However, if Spencer wants to rent a car for more than 150 days, the Tesla is the cheaper option.

Step-by-step explanation:

You can write both Deals in slope inter form.

Tesla: y = 25x+75

Porsche: y=50x

Remember: slope inter form is y = mb + b

"mx" being the change in y over the change in 1 or (y1-y2/x1-x2)

"b" in the formula represents the y-axis

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).

Answers

Answer:

A.) the number of fencers that do not use the foil as their main weapon

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 21 ~ 0.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)

Step-by-step explanation:

A.) since it is reported that 60% of fencers use the foil as their main weapon ;

The random variable (x) : number of fencers that do not use foil as their main weapon ;

( 100% - 60%) = (1 - 0.6) = 0.4

B.) values that X may take on :

Sample size = 21 ;

X : 0, 1, 2,..., 21

The distribution of X

X ~ B ; X ~ p(X) ; 21 ~ 0.4

Part (d) How many fencers are expected to not use the foil as their main weapon?

X * p(x)

21 * 0.4

= 8.4

= 8 (nearest whole number)

Part (e) Find the probability that eleven do not use the foil as their main weapon.

P(x = 11)

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 11) = 21C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?

P(x = 21) = 21C21 * 0.4^21 * 0.6^0

P(x = 21) = < 0.00001 ( approximately 0)

Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon

Find the measure ZBCD in the
following parallelogram.

Answers

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

I’m gonna mark brainliest plz answer

Answers

Answer:

1) 6

2) 8/125

3) 5

4) 4/5

Step-by-step explanation:

1) 2x2x2x2x2x2 = 64     then  2^6 = 64

2) (2/5)^3 =8/125

3) 3x(3^4) = 3^5

4) sq rt 16/25 = 4/5

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

Answers

Answer:

x ≠ 5

Step-by-step explanation:

Assuming you mean f(x) = (1/(2x-10))+3

Please be careful with how ambigiuous your question can appear with the / sign.

The domain is the set of values that can be used as an input.

In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.

This gives us 2x-10 ≠ 0

2x ≠ 10

x ≠ 5

The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ √ ( 1/2 )x - 10 ] + 3

Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.

(1/2)x - 10 ≥ 0

To solve this inequality, we can isolate x:

(1/2)x ≥ 10

x ≥ 20

Hence , the domain of the function f(x) is x ≥ 20.

To learn more about domain and range click :

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The complete question is attached below :

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

What is 150 increase by 10%

Answers

Answer:

500 hope this helps

Step-by-step explanation:

165 cuz 150 divided by 10 is 15 and 15 plus 150 is 165

Simplify the following monomials 1-12

Answers

Answer:

1. [tex]x^{8}[/tex]

2. [tex]k^{45[/tex]

3. [tex]m^{6}n^{21}[/tex]

4. [tex]64w^{18}[/tex]

5. [tex]81y^{12}[/tex]

6. [tex]16x^{4}[/tex]

7. [tex]-125y^{9}[/tex]

8. [tex]a^{36}b^{4}[/tex]

9. [tex]\frac{1}{128} x^{28}[/tex]

10. [tex]54a^{6}[/tex]

11. [tex]8k^{10}[/tex]

12. [tex]-\frac{16}{9} p^{24}[/tex]

Step-by-step explanation:

PLSSS HELP ASP TYSMMM

Answers

Answer:

For what I can’t see the page or equation?

Step-by-step explanation:

How do you find the y-intercept of a line given two ordered pairs?

Answers

look for the number on the y intercept

Answer:

Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation.

Step-by-step explanation:

goog

Divide using long division.
(x3 + 3x2 + x - 4) + (x - 1)

Answers

Answer:

2x+3x2 +x3 −5

Step-by-step explanation:

Hope this helps

Answer:

x^2 - 2x + 2

step-step explanation:

Find the value of 0.7 x 0.08

Answers

Answer:

0.056

Step-by-step explanation:

I used my calculator, not much work to show :)

Answer:

The answer for 0.7 x 0.08 is 0.056.

Explantion:

I am smart like that.

I am built different.

Help asap!!!!!!!!!!!!!

Answers

your laptop is useless if you don't have braon

A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the probability that at least one will have a defect

Answers

Answer:

0.271 = 27.1% probability that at least one will have a defect

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they have a defect, or they do not. Items are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A manufacturing machine has a 10% defect rate.

This means that [tex]p = 0.1[/tex]

3 items are chosen at random

This means that [tex]n = 3[/tex]

What is the probability that at least one will have a defect?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.1)^{0}.(0.9)^{3} = 0.729[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.729 = 0.271[/tex]

0.271 = 27.1% probability that at least one will have a defect

Given that 6x – 4y= 29
Find x when y = 4
Give your answer as an improper fraction in its simplest form.
x=

Answers

Answer:

substitute the y equation to the other equation.

6x - 4(4) = 29

6x - 16 = 29

6x = 29 + 16

6x = 45

x = 15/2

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