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Probability question.?



6.You run a company that conducts bicycle tours. Part of tour service is a 鈥渟ag鈥?wagon that follows the bicyclists and picks up the riders who have a mechanical breakdown or are just exhausted. Your sag wagon has room for four bikes. Your experience has been that the probability of a rider using the sag wagon is 0.05. You limited your tours to 20 riders. What is the probability that you will run short of space in your sag wagon?

5%
About 3.5%
1% probability
Used excel to determine the binomial distribution

P (X > 4)?

P (X > 4) = 1 鈥?P (X 鈮?4)

P (X 鈮?4) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

= 0.3584859 + 0.3773536 + 0.1886768 + 0.0595821 + 0.013327586 = 0.9974

1- 0.9974 = 0.0026
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