Suppose the time a child spends waiting at for the bus as a school bus stop is e

Question

Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 4 minutes. Determine the probability that the child must wait at least 6 minutes on the bus on a given morning. a) O04463 b) 0.4231 c) 00.2769 d) 0.5231 e0.2231 f None of the above Question 10 Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. Determine the probability that the child must wait between 5 and 8 minutes on the bus on a given morning. 0.3294 b) 0.1706 c)0.8294 d 0.4895 e 0.3706 None of the above

Explanation / Answer

9) The provided mean is =4.

We need to compute Pr(X6). Therefore, the following is obtained:

Pr(X6)=e6/4=0.2231 (option e)

10) The provided mean is =7.

We need to compute Pr(5X8). Therefore, the following is obtained:

Pr(X8)Pr(X5)= e5/7e8/7=0.48950.3189=0.1706 (optionB )

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