10. An education finance corporation claims that the average credit card debts carried by undergraduates are normally distributed, with a mean of Php3275 and a standard deviation of Php1326. a. What is the probability that a randomly selected undergraduate, who is a credit card holder, has a credit card balance less than Php2800? b. You randomly select 30 undergraduates who are credit card holders. What is the probability that their mean credit card balance is less than

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10. An education finance corporation claims that the average credit card debts carried
by undergraduates are normally distributed, with a mean of Php3275 and a
standard deviation of Php1326.
a. What is the probability that a randomly selected undergraduate, who is a
credit card holder, has a credit card balance less than Php2800?
b. You randomly select 30 undergraduates who are credit card holders. What
is the probability that their mean credit card balance is less than
Php2800?
c. Compare the probabilities from (1) and (2) and interpret your answer in
terms of the corporation's claim.
Transcribed Image Text:10. An education finance corporation claims that the average credit card debts carried by undergraduates are normally distributed, with a mean of Php3275 and a standard deviation of Php1326. a. What is the probability that a randomly selected undergraduate, who is a credit card holder, has a credit card balance less than Php2800? b. You randomly select 30 undergraduates who are credit card holders. What is the probability that their mean credit card balance is less than Php2800? c. Compare the probabilities from (1) and (2) and interpret your answer in terms of the corporation's claim.
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