Answer:
a.) X ≈ N (0, 12)
b.) Y ≈ exp(2)
c.) The given distribution is not defined.
d.) Not a standard form of any distribution .
Step-by-step explanation:
Given - In parts (a)−(d) below, either use the information given to determine
the distribution of the random variable, or show that the information
given is not sufficient by describing at least two different random
variables that satisfy the given condition.
To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.
(b) Y is a random variable such that [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
(c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
(d) W is a random variable such that [tex]M_{W}[/tex](2) = 2
Proof -
a.)
As we know that the moment generating function of normal distribution is given by
Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]
Now,
Mₓ(t) = [tex]e^{6t^{2} }[/tex]
= [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]
⇒μ = 0, σ = 12
Nd it is represented by
X ≈ N (0, 12)
b.)
Moment generating function of exponential function is given by
[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]
Now,
[tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
= [tex]\frac{1}{\frac{2 - t}{2} }[/tex]
= [tex]\frac{1}{1 - \frac{t}{2} }[/tex]
= [tex]( 1 - \frac{t}{2} )^{-1}[/tex]
And it is represented by
Y ≈ exp(2)
c.)
Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
The given distribution is undefined.
d.)
[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )
= [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]
= 2
It is not the standard form of any distribution.
4/5 divided by 5 1/2
Answer:
8/55
Step-by-step explanation:
4/5 DIVIDED 5 1/2 = 8/55
Can only like terms be combined?
Answer:
yes
Step-by-step explanation:
only like terms can be combined
Answer:
yes. If it's variables, then only like variables can be combined. If it's fractions, then they must be converted to a common denominator before combining.
Step-by-step explanation:
pls help the question is in the picture
Which three side lengths best describe the triangle in the diagram?
Answer:
d. 6cm, 6cm, 6cm
Step-by-step explanation:
each one of the rulers is lined correctly and shows that it is 6 cm
Please help ASAP if you know how. Thanks so much
Answer:
A.6.21
Step-by-step explanation:
A=2, b=-10, c=-5
wat is the sum of 13.75 and -11.25
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
use the keep change change rule
13.75 - keep
+ - change into minus
-11.25 - change into positive 11.25
please help i will mark brainliest if you are right
Answer:
56
Step-by-step explanation:
Range is difference between greatest and least. This is 97 - 41 = 56
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answer:
The percentage change was of 11.73%.
Step-by-step explanation:
The percentage change of the increase is given by the change multiplied by 100 and divided by the initial value.
Price of £8.95 is increased to £10.
Change: 10 - 8.95 = 1.05
Initial price: 8.95
1.05*100/8.95 = 11.73%
The percentage change was of 11.73%.
PLEASE HELP ASAP!! I WILL MARK BRAINLIEST
You are designing a new
movie complex. There are
14 movie theaters and 3 exits
per theater. The food area has
9 exits. How many exits are
there altogether?
Answer:
51
Step-by-step explanation:
There are 14 movie theaters, and 3 exits each.
You can multiply 14 by 3 to get the number of exits in the movie theaters combined.
Next, the food area has 9, so you add 9 to the 42.
42 + 9 = 51.
Hope this helps!
Answer:
there are 51 exits
Step-by-step explanation:
What is the slope of a line perpendicular to a line which has a slope of -2
Answer:
it is 1/2
Step-by-step explanation:
The product of a lines slope M and the slope K of a perpendicular is -1:
M*K=-1
This implies
K=-1/M
since
M * -1/M=-1
In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:
M*K=-1
-2*K=-1
K=-1/-2=1/2
A movie started at 2:30 PM. and ran for 1 Hour and 45 minutes.What time did the movie end?
Answer:
The movie ended at 4:15 PM
Step-by-step explanation:
=> It started at 2:30, when you add an hour to that it will become 3:30
=> Then you must add the 45 minutes to it
=> so it will be 3:75, however that is not a right answer and it is not logical
=> so you need to add the first 30 minutes which will give you 4:00
=> then add the rest which is 15 minutes
therefore, your answer is 4:15 PM
hope this helps and i hope it is not too confusing :)
Answer:
4:15
Step-by-step explanation:
Help please. 4. Solve for x.
This circle graph shows how a college student breaks down her study time
in typical week. If the student spends 40 hours per week studying, how
much time is spent studying Math and French.
French, 23%
English, 11%
Art, 14%
Math, 21%
History, 31%
55% of what number is 1100? Which of the following proportions could be used to
solve this problem?
Answer:
1100
55100=1100 x 55100
=1100x
Step-by-step explanation:
Hope it is helpful...
The required value of unknown number a would be 2000.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
WE need to determine 55% of what number is 1100.
Let the unknown number is a. then we get;
55% of a = 1100
55/100 of a = 1100
55/100 x a = 1100
Cross mulitiplication, we get;
55a = 1100 x 100
55a = 110000
Divide by 55, we have;
a = 110000/ 55
a = 10000/ 5
a = 2000
Therefore, the required value of unknown number a would be 2000.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ5
Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)
[tex]\frac{4}{5}(4+y)[/tex]
1. (-78) + (-98) =
2. (+45) + (+23) =
3. (+67) + (-56) =
4. (98) + (-73) =
5. (-971) + (+237) =
Answer:
1.-179
2.68
3. 11
4. 25
5. -734
Which equation represents the line that has a slope of 4 and passes through the points (2,7)
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆\begin{gathered}y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } \end{gathered}
y=mx+b
7=4(2)+b
7=8+b
−1=b
−8=−8
what is 10 2/3 in inproper numbers
Answer:
[tex]\frac{32}{3}[/tex]
Step-by-step explanation:
you simply multiply the bottom number times the whole number:
10*3 =30
then add the top number:
30+2=32
and finally, you put the 32/3
c) 12 x 3 + 9 + (15 - 2) × 3 =
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
HELP ME PLS ASAP PLS PLZ
Answer:
11.5x 4.5-8 wayy easier all you do is add and multiply
what is x + 3 1/2 = 9
Answer:
Step-by-step explanation:
x+3 1/2=9
x=9-7/2
x=(18-7)/2=11/2
x=5 1/2
Answer:
3 1/2 + 5 1/2= 9.
Step-by-step explanation:
Hope this helps? im sorry if it doesn't :)
pls solve this i cannot do it find x y z in the above
Answer:
x = 115
z= 40
y = 140
Step-by-step explanation:
x = 180 - (40 +25) = 115
z = 180 - (115+25) = 40
y = 180 - (40) = 140
Answer:
This is your answer!!!
Step-by-step explanation:
I attached a pic.
Hope it helps!!!
You are making identical bagel platters using
40 plain bagels, 30 raisin bagels, and 24 blueberry
bagels. What is the greatest number of platters
that you can make if there are no leftover bagels?
4x-3y = 12 and 3x+2y =6
Answer:
x = 42/17
y = -12/17
Step-by-step explanation:
4x - 3y = 12
3x + 2y = 6
use the elimination method (definition at the bottom of the page)
multiply both sides of the equation 4x - 3y = 12 by 2
8x - 6y = 24
multiply both sides of the equation 3x + 2y = 6 by 3
9x + 6y = 18
now, add the two equations:
17x = 42
x = 42/17
now, plug this into the equation 3x + 2y = 6
126/17 + 2y = 6
2y = -24/17
y = -12/17
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex] x = \frac{2*\sqrt{3}}{3} [/tex]
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
[tex] tan (30) = \frac{opp}{adj} [/tex]
[tex] tan (30) = \frac{x}{2} [/tex]
[tex] 2 * tan (30) = x [/tex]
[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)
[tex] \frac{2}{sqrt{3}} = x [/tex]
Rationalize
[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]
[tex] \frac{2*\sqrt{3}}{3} = x [/tex]
How many fourths are in 3 fourths?
Answer:
12 one fourths
Step-by-step explanation:
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3
For what value of the constant c is the function f continuous on
(−∞,∞) where
f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3
9514 1404 393
Answer:
c = 3
Step-by-step explanation:
In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...
c(3) +9 = c(3²) -9
18 = 6c . . . . . . . . add 9-3c to both sides
3 = c . . . . . . . . . . divide by 6
Function f is continuous when c=3.
Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the nearest cent
What is the total Brandon pays for the radio?
Answer:
Step-by-step explanation:
tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16
Total cost = $45.09 + $3.16 = $48.25
To the nearest 10th, find the measure of the missing side.
Answer:
[tex]x = 30.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this case, it is:
[tex]cos(36) = \frac{x}{38}[/tex]
Multiply both sides by 38
[tex]38 * cos(36) = \frac{x}{38}*38[/tex]
[tex]38 * cos(36) = x[/tex]
[tex]38 * 0.8090= x[/tex]
[tex]30.742= x[/tex]
[tex]x = 30.742[/tex]
[tex]x = 30.7[/tex] -- approximated
63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen
Answer:
sorry
Step-by-step explanation:
I don't know ........
