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

Question # 00011095
Subject: Mathematics
Due on: 03/28/2014
Posted On: 03/27/2014 11:57 PM

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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.

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#### Three Math Problem Solution

Tutorial # 00010663
Posted On: 03/27/2014 11:59 PM
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Tutorial Preview …values xxxxxxxx a xxxxxx random sample xx 30 Facebook xxxxx a xxxxxxx xxx mean xxx the standard xxxxxxxxx of the xxxxxxxx distribution xx xxx mean xxxxx a sentence xxxxxxxxxx what this xxxx signifies x xxxx is xxx probability that xxx average number xx friends xx xx Facebook xxxxx is greaterthan xxxx Express your xxxxxx in xxxxxx xxxxxxxx c xxx suppose a xxxxxx random sample xx 15 xxxxx xxx taken xxxxxxxx how your xxxxxxxxx parts (a) xxx (b) xxxxxx xxx Mean xx 130 and xxxxxxxx deviation is xxxxxx = xx xx This xxxxx…
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Preview: distribution xxxx is xxx standard deviation xx this distribution xx average xxxx xx Facebook xxx 130 friends xx are also xxxxx that xxx.....
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