A college student is employed as a door-to-door newspaper salesman. Historical d

Question

A college student is employed as a door-to-door newspaper salesman. Historical data suggests that the student sells a subscription to 6% of the homes he visits. Suppose the student begins going door-to-door at some point in time.

QUESTION 13 A college student is employed as a door-to-door newspaper salesman. Historical data suggests that the student sells a subscription to 6% of the homes he visits. Suppose the student begins going door-to-door at some point in time. Given that 2 subscriptions are sold at the first 22 homes, what is the probability that the 4th subscription is sold at the 38th home? (Report answer to three decimal places. Answer must be within +l- 0.001 of correct value.)

Explanation / Answer

P(selling a subscription at a home), p = 0.06

After selling 2 subscription in first 22, to sell fourt one on the 38th home, he should sell 1 subscription in any of the 23rd to 37th home he visit and then, sell a subscription at the 38th home

The probability of doing this = P(1 sale from 15) x 0.06

= 15C1 x 0.06 x (1-0.06)14 x 0.06

= 0.0227

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