Connect e chegg Study l Guided Solutio × e chegg Study l Guided Solutio × e ! [V

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Connect e chegg Study l Guided Solutio × e chegg Study l Guided Solutio × e ! [V) WileyPLUS what Ls The x Connect × c secure https://newconnect.mheducation.com/flow/connect.html Chapter 6 G Seved Help Save & Exit Submit Check my work 5 Recent crime reports indicate that 4.5 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. points a. Calculate the probability exactly five thefts occur in a minute. (Round your probability to 3 decimal places.) Skipped abili eBook Print b. What is the probability there are four or more thefts in a minute? (Round your probability to 3 decimal places.) ability c. What is the probability there is four or less thefts in a minute? (Round your probability to 3 decimal places.) ability Graw Hill

Explanation / Answer

= 4.5

P(X = x) = e- * x / x!

a) P(X = 5) = e-4.5 * 4.55 / 5! = 0.171

b) P(X > 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]

                  = 1 - [e-4.5 * 4.50 / 0! + e-4.5 * 4.51 / 1! + e-4.5 * 4.52 / 2! + e-4.5 * 4.53 / 3!]

                  = 1 - 0.342

                  = 0.658

c) P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

                  = e-4.5 * 4.50 / 0! + e-4.5 * 4.51 / 1! + e-4.5 * 4.52 / 2! + e-4.5 * 4.53 / 3! + e-4.5 * 4.54 / 4!

                  = 0.532

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