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MATH -The phone lines to an airline reservation system are occupied

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Question;1. The phone lines to an airline reservation system are occupied 40% of the time. Assume theevents that the lines are occupied on successive calls are independent. Assume that 10 calls areplaced to the airline. LetXbe the number of lines that are occupied.;a. What is the name of the probability distribution ofX? Obtain the pdf and the cdf tables for thisdistribution.;b. What is the mean of this distribution?;c. What is the standard deviation of this distribution?;2. Suppose a manufacturer of computer chips is experiencing an average of 2% defective chips.;a. If a lot contains 1000 chips, what is the probability that more than 25 chips are defective? HINT. Use the normal approximation to the binomial.;3. An average user of Facebook has 130 friends. We are also given that the standard deviation = 85.This distribution is certainly not normal since it only takes on integer values. Consider a simple random sample of 30 Facebook users.;a. Compute the mean and the standard deviation of the sampling distribution of the mean.Write a sentence describing what this mean signifies.;b. What is the probability that the average number of friends in 30 Facebook users is greaterthan 140? Express your answer in proper notation.;c. Now suppose a simple random sample of 15 users was taken. Describe how your answersto parts (a) and (b) change.

 

Paper#61072 | Written in 18-Jul-2015

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