2. O in any given month at this intersection: (a) Exactly the mean number of tra

Question

2. O in any given month at this intersection: (a) Exactly the mean number of traffic accidents will occur? n average, 3 traffic accidents per month occur at a certain intersection. What is the probability that (b) At least 2 accidents will occur? (c ) What assumptions did you need to make to be able to answer the above questions? The probability that a student pilot passes the written test for a private pilot's license is 0.7. Find the probability that a given student will pass the test (1) on the third try; and (2) in less than 4 try. 3. M. Ali Montazer

Explanation / Answer

2) = 3

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

a) P(X = 3) = e-3 * 33 / 3! = 0.2240

b) P(X > 2) = 1 - (P(X = 0) + P(X = 1))

                  = 1 - (e-3 * 30 / 0! + e-3 * 31 / 1!)

                  = 1 - 0.1991

                  = 0.8009

c) The assumption is : All the accidents will be independent of each other.

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