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Debora [2.8K]
3 years ago
8

The probability that Ashley drives faster than the speed limit (event A) is 0.34, and the probability that he gets a speeding ti

cket (event B) is 0.22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. dependent B. independent C. insufficient data D. depends on the other events in the sample space
Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer: Option 'A' is correct

Step-by-step explanation:

Since we have given that

A be the event that Ashley drives faster than the speed limit.

P(A)=0.34

B be the event that he gets a speeding ticket.

P(B)=0.22

Probability that he drives faster than the speed limit, given that he has gotten a speeding ticket i.e.

P(A|B)=1

but for A and B to be independent ,

P(A).P(B)= P(A and B)

0.34×0.22=0.0748

but,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\1=\dfrac{P(A\cap B)}{0.22}\\\\0.22=P(A\cap B)

So, P(A∩B) does not satisfy the condition.

Hence, A and B are not independent events.

Option 'A' is correct as they are dependent events.

Wittaler [7]3 years ago
4 0

The correct answer between all

the choices given is the first choice or letter A. I am hoping that this answer

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