The article \"Should You Report That Fender-Bender?\"† reported that 7 in 10 aut

Question

The article "Should You Report That Fender-Bender?"† reported that 7 in 10 auto accidents involve a single vehicle. Suppose 15 accidents are randomly selected. (Round your answers to five decimal places.)

(a)

What is the probability that exactly four involve a single vehicle?

(b)

What is the probability that at most four involve a single vehicle?

(c)

What is the probability that exactly six involve multiple vehicles?

You may need to use the appropriate table in Appendix A to answer this question.

Explanation / Answer

We have X ~ Binom(15,0.7)

Using binomial tables:

(a) Probability that exactly four involve a single vehicle

P(X = 4) = 0.0006.

(b) Probability that at most four involve a single vehicle

P(X <= 4) = 0.0007.

(c) Probability that exactly six involve multiple vehicles

Probability that exactly six involve multiple vehicles

P(X = 9) = 0.1472.

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