PLEASE HELP THIS HAS A TIMER The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.

A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.

Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?

No, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).

Answer:

I believe the answer is (B).

Both are not independent, and the probability of A is 30/100.

While the probability for A|B is like 30/100(80/100) which does not equal 30/100.

I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck

ED2021

The two events are not independent as the traffic is affected by the weather conditions.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

Learn more about the independent probability here:

https://brainly.com/question/27987662.

#SPJ2

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