A salon’s owner has placed an advertisement in internet looking for hairdresser for a new salon....

A salon’s owner has placed an advertisement in internet looking for hairdresser for a new salon. The owner is looking for three hairdresser that have a particular set of skills. From experience, the salon’s owner knows that hairdresser who apply for the job have a 25% chance of having the required skills, independent of other applications.

(a) What is the probability that exactly four applications are processed before finding the first appropriate hairdresser?

(b) What is the expected number of applications the salon’s owner must process before filling the three positions?

(c) Write an expression for the probability that more than 12 applications must be processed before all positions are filled.

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Expert Solution

orchestra answered 3 years ago

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