2017-2018 Name: Note: Please write a detailed solution for each of the following

Question

2017-2018 Name: Note: Please write a detailed solution for each of the following problems and upload your work to Taskstream in a PDF format via eCourse. 1. (Computation Skills) Suppose a study is conducted using adults in a particular county. They found that 52% of the adults in the county are males. In addition to the above, they found that 95% of males smoke cigars, whereas 1.7% of females smoke cigars. If an adult is chosen randomly, what is the probability that an adult is a male given that selected adult smokes cigars? 2. (Computation Skills) Automobiles arrive at a vehicle equipment inspection station äccording to a Poisson process with a rate of 10 per a. What is the probability that there are at most 6 vehicles coming to the inspection during b. What is the probability that there are at least 6 vehicles coming to the inspection during c. What is the probability that there are exactly 6 vehicles coming to the inspection during hour an hour? an hour? an hour?

Explanation / Answer

ANSWER :-

(1)

probabilty of smoking = P(S) = probabilty of a male and he smokes + probability of female and she smokes

=0.52*0.095 + 0.48*0.017 = 0.05756

hence probability that an adult is a male given that selected adult smokes cigars is =

(0.52*0.095)/0.05756

=0.8582

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