I need help with #5 How large must n be to have a 0.999 probability of detecting

Question

I need help with #5 How large must n be to have a 0.999 probability of detecting an aircraft entering the zone? Let X follows a binomial distribution with mean equals 0.55 and standard deviation equals 0.7228. and p. A recruiting firm finds that 30 percentage of the applicants for a certain industrial job have received advanced training in computer programming. Applicants are interviewed sequentially and selected at random from the pool. Find the probability that the first applicant who has received advanced training in programming is found on the fourth interview. Let Y = of interview on which the first applicant having advanced training in computer programming is found. Suppose that the first applicant with advanced training is offered the position, and the applicant accepts. If each interview costs dollar 30 find the expected value and the variance of the total cost of interview until the job is filled. A grocery store is sponsoring a sales promotion where the cashiers give away one of the letters: O, C, L, S, E, for each purchase. If the customer collects all five (spelling CLOSE), he or she gets dollar 20.00 worth of groceries free. What is the expected number of trips a store a customer needs to make?

Explanation / Answer

there are five letters O, C, L, S, E

so proabability of getting one letter =p=1/5

so expected number of times to get all the five letters for free gift=1/p=1/(1/5)=5

right answer will be 5.

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