If we select 7 colleges from a major and then record

Question

Probability Distributions

Refer to the data.

Using the ROI data set:

1. If we select 7 colleges from a major and then record whether they are of 'School Type' 'Private' or not, is this experiment a binomial one? Why or why not?
2. For each of the 2 majors determine if the 'Annual % ROI' appears to be normally distributed. Consider the shape of the histogram and the measures of central tendency (mean and median) to justify your results. Report on each of these with charts and calculations to justify your answers.

Business Major

School Type	Cost	30 Year ROI	Annual ROI
Private	$222,700.00	$1,786,000.00	7.70%
Private	$176,400.00	$1,758,000.00	8.40%
Private	$212,200.00	$1,714,000.00	7.80%
Public	$125,100.00	$1,535,000.00	9.10%
Private	$212,700.00	$1,529,000.00	7.40%
Public	$92,910.00	$1,501,000.00	10.10%
Private	$214,900.00	$1,485,000.00	7.30%
Private	$217,800.00	$1,483,000.00	7.20%
Private	$225,600.00	$1,444,000.00	7.00%
Private	$217,300.00	$1,442,000.00	7.10%
Private	$226,500.00	$1,441,000.00	7.00%
Private	$215,500.00	$1,438,000.00	7.20%
Private	$223,500.00	$1,428,000.00	7.00%
Private	$226,600.00	$1,414,000.00	7.00%
Private	$189,300.00	$1,397,000.00	7.50%
Public	$89,700.00	$1,382,000.00	9.90%
Public	$87,030.00	$1,376,000.00	10.00%
Private	$218,200.00	$1,343,000.00	6.90%
Private	$229,900.00	$1,339,000.00	6.70%
Private	$148,800.00	$1,321,000.00	8.10%

Engineer Major:

School Type	Cost	30 Year ROI	Annual ROI
Private	$221,700.00	$2,412,000.00	8.70%
Private	$213,000.00	$2,064,000.00	8.30%
Private	$230,100.00	$1,949,000.00	7.90%
Private	$222,600.00	$1,947,000.00	8.00%
Private	$225,800.00	$1,938,000.00	8.00%
Public	$87,660.00	$1,937,000.00	11.20%
Private	$224,900.00	$1,915,000.00	7.90%
Private	$221,600.00	$1,878,000.00	7.90%
Public	$125,100.00	$1,854,000.00	9.80%
Private	$215,700.00	$1,794,000.00	7.90%
Public	$92,530.00	$1,761,000.00	10.60%
Private	$217,800.00	$1,752,000.00	7.70%
Public	$89,700.00	$1,727,000.00	10.70%
Private	$229,600.00	$1,716,000.00	7.50%
Public	$101,500.00	$1,703,000.00	10.20%
Public	$115,500.00	$1,694,000.00	9.70%
Public	$104,500.00	$1,690,000.00	10.10%
Public	$69,980.00	$1,685,000.00	11.50%
Private	$219,400.00	$1,676,000.00	7.60%
Public	$64,930.00	$1,668,000.00	11.70%