An orchard owner knows that he will have to use about 4% of the apples he harves

Question

An orchard owner knows that he will have to use about 4% of the apples he harvests for cider because they will have bruises or blemishes. He selects some apples at random and checks their quality. Check conditions of Bernoulli Trials and then answer the following questions. Find the Probability that first cider-apple will be third apple selected. 00.037 0.002 None of the above How many apples, on average, an orchard owner is expected to check until he finds first cider-apple? 1 25 None of the above Find the Standard Deviation of cider-applies. 24.5 0.21 None of the above

Explanation / Answer

p = 0.04

a) P(1st cider-apple will be third apple) = (1 - 0.04)2 * 0.04

                                                               = 0.037 (ans)

b) Mean = 1/p

              = 1 / 0.04

              = 25 (ans)

c) variance = (1 - p) / p2

                   = (1 - 0.04) / 0.042

                   = 600

standard deviation = sqrt(600) = 24.5 (ans)

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