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Question: In the context of quality control, a company manufacturing bike helmets decides that helmets be inspected until the fifth helmet having a particular type of flaw is found. The total number X of helmets inspected will be used to decide whether or not the production process is under control. Assume that each helmet has the flaw with probability 0.05 independently of other helmets.

(a) The random variable X is (choose one)

(i) binomial (ii) hypergeometric (iii) negative binomial (iv) Poisson.

(b) Give the sample space and PMF of X.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92577864

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