Question

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? O No, P(A) = P(BIA). O No, P(A) # P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) # P(BIA),

Answer 1

No, the two events A and B are not independent. Event A is heavy traffic and Event B is bad weather. They both are dependent to each other.

How to find if two events are independent?

Suppose that two events are denoted by A and B. They are said to be an independent event if and only if:

$P(A \cap B) = P(A)P(B)$

It is because

$P(A|B) = P(A)\\P(B|A) = P(B)$

and therefore, using chain rule and above facts gives:

$P(A \cap B) = P(A)P(B)$

Let event,

Event A = heavy traffic

Event B = bad weather

Only when one event affects the other is a pair of occurrences considered to be independent.

The two occurrences are not independent in this case.

Heavy rains, snowfall, and other extreme weather conditions cause traffic systems to fail, resulting in gridlock. This is seen in all major metropolitan areas.

As a result, the two activities are not independent, since weather conditions impact traffic.

To learn more about the independent event, refer to the link;

brainly.com/question/13488890

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