A very large charity has pledges (in dollars) with a mean of 89 and a standard deviation of 23. Suppose we randomly select 121 charity pledges. Let M be the random variable representing the mean pledge size of the 121 selected pledges. Let T be the random variable representing the total amount (sum) of the 121 selected pledges. b) What is the expected value of T? c) What is the standard deviation of T? d) What is the approximate probability that T is greater than 11000? e) What is the 95th percentile of the approximate distribution of T?

A First Course in Probability (10th Edition)
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A very large charity has pledges (in dollars) with a mean of 89 and a standard deviation of 23. Suppose we randomly select 121 charity
pledges. Let M be the random variable representing the mean pledge size of the 121 selected pledges. Let T be the random variable
representing the total amount (sum) of the 121 selected pledges.
b) What is the expected value of T?
c) What is the standard deviation of T?
d) What is the approximate probability that T is greater than 11000?
e) What is the 95th percentile of the approximate distribution of T?
Please solution USING R script
Transcribed Image Text:A very large charity has pledges (in dollars) with a mean of 89 and a standard deviation of 23. Suppose we randomly select 121 charity pledges. Let M be the random variable representing the mean pledge size of the 121 selected pledges. Let T be the random variable representing the total amount (sum) of the 121 selected pledges. b) What is the expected value of T? c) What is the standard deviation of T? d) What is the approximate probability that T is greater than 11000? e) What is the 95th percentile of the approximate distribution of T? Please solution USING R script
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