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According to a survey, only 15% of customers who visited the web site of a major...

According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.

(a) What is the average of all the sample proportions of customers who will make a purchase after visiting the web site?

(b) What is the standard deviation of all the sample proportions of customers who will make a purchase after visiting the web site?

(c) What proportion of the samples will have between 20% and 30% of customers who will make a purchase after visiting the web site?

(d) What proportion of the samples will have less than 15% of customers who will make a purchase after visiting the web site?

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