Student loans:The Institute for College Access and Success reported that 67% of college students in a recent year graduated with student loan debt. A random sample of 95 graduates is drawn. UseCumulative Normal Distribution Tableas needed. Round your answers to at least four decimal places if necessary.

Part 1 of 6

(a)Find the mean

p

.

The mean p is 0.67 .

Part 2 of 6

(b)Find the standard deviation

p

.

The standard deviation p is .

Part 3 of 6

(c)Find the probability that less than

59%

of the people in the sample were in debt.

The probability that less than 59% of the people in the sample were in debt is .

Part 4 of 6

(d)Find the probability that between

70%

and

75%

of the people in the sample were in debt.

The probability that between 70% and 75% of the people in the sample were in debt is .

Part 5 of 6

(e)Find the probability that more than

74%

of the people in the sample were in debt.

The probability that more than 74% of the people in the sample were in debt is .

Part 6 of 6

(f)Would it be unusual if less than

58%

of people in the sample were in debt?

It would be unusual if less than

58%

of the people in the sample were in debt, since the probability is

.