In: Statistics and Probability
High school graduates: Approximately
74%
of freshmen entering public high schools in the United States in
2005
graduated with their class in
2009
. A random sample of
175
freshmen is chosen. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.
(a)Find the mean
μp
.
| The mean
 μp is . | 
Part 2 of 6
(b)Find the standard deviation
σp
.
| The standard deviation
 σp is . | 
Part 3 of 6
(c)Find the probability that less than
75%
of freshmen in the sample graduated.
| The probability that less than
 75% of freshmen in the sample graduated is . | 
Part 4 of 6
(d)Find the probability that between
64%
and
78%
of freshmen in the sample graduated.
| The probability that between
 64% and78% of freshmen in the sample graduated is . | 
Part 5 of 6
(e)Find the probability that more than
64%
of freshmen in the sample graduated.
| The probability that more than
 64% of freshmen in the sample graduated is . | 
Part 6 of 6
(f)Would it be unusual if the sample proportion of freshmen in the sample graduated was more than
83%
?
| It  ▼(Choose one) be
unusual if the sample proportion of freshmen in the sample
graduated was more than
 83% since the probability is . |