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 of85

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

.

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 than60

%

of the people in the sample were in debt.

The probability that less than60

%

of the people in the sample were in debt is

.

Part 4 of 6

(d)Find the probability that between70

%

and80

%

of the people in the sample were in debt.

The probability that between70

%

and80

%

of the people in the sample were in debt is

.

Part 5 of 6

(e)Find the probability that more than77

%

of the people in the sample were in debt.

The probability that more than77

%

of the people in the sample were in debt is

.

Part 6 of 6

(f)Would it be unusual if less than63

%

of people in the sample were in debt?

It

(Choose one)

be unusual if less than63

%

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

.