# MA215 Grantham University Probability Problems Questions Compute the weighted mean for the following data. Question 2 If P(A) = 0.50, P(B) = 0.40, and P(

MA215 Grantham University Probability Problems Questions Compute the weighted mean for the following data.

Question 2

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MA215 Grantham University Probability Problems Questions Compute the weighted mean for the following data. Question 2 If P(A) = 0.50, P(B) = 0.40, and P(
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If P(A) = 0.50, P(B) = 0.40, and P(A ? B) = 0.88, then P(B | A) =

Question 3

Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that

Person A was given a vitamin tablet?
Person B was given a sugar tablet given that Person A was given a vitamin tablet?
neither was given vitamin tablets?
both were given vitamin tablets?
exactly one person was given a vitamin tablet?
Person A was given a sugar tablet and Person B was given a vitamin tablet?
Person A was given a vitamin tablet and Person B was given a sugar tablet?

For this question you will need to reference the data in the ROI Excel spreadheet attached.

Using the ROI data set:

For each of the 2 majors calculate the mean, median, minimum, maximum, range, and standard deviation for the columns Cost and 30-Year ROI.
By hand or with Excel, for each of the 2 majors calculate the probability that a college picked from the column for School Type is Private.
By hand or with Excel, for each of the 2 majors find the probability that a college with the School Type Private has a 30-Year ROI between \$1,500,000 and \$1,800,000. School Type
Private
Private
Private
Public
Private
Public
Private
Private
Private
Private
Private
Private
Private
Private
Private
Public
Public
Private
Private
Private
Best College ROI by Majo 2013: Payscale.com
Cost
\$222,700.00
\$176,400.00
\$212,200.00
\$125,100.00
\$212,700.00
\$92,910.00
\$214,900.00
\$217,800.00
\$225,600.00
\$217,300.00
\$226,500.00
\$215,500.00
\$223,500.00
\$226,600.00
\$189,300.00
\$89,700.00
\$87,030.00
\$218,200.00
\$229,900.00
\$148,800.00
30 Year ROI
\$1,786,000.00
\$1,758,000.00
\$1,714,000.00
\$1,535,000.00
\$1,529,000.00
\$1,501,000.00
\$1,485,000.00
\$1,483,000.00
\$1,444,000.00
\$1,442,000.00
\$1,441,000.00
\$1,438,000.00
\$1,428,000.00
\$1,414,000.00
\$1,397,000.00
\$1,382,000.00
\$1,376,000.00
\$1,343,000.00
\$1,339,000.00
\$1,321,000.00
Annual ROI
7.70%
8.40%
7.80%
9.10%
7.40%
10.10%
7.30%
7.20%
7.00%
7.10%
7.00%
7.20%
7.00%
7.00%
7.50%
9.90%
10.00%
6.90%
6.70%
8.10%
School Type
Private
Private
Private
Private
Private
Public
Private
Private
Public
Private
Public
Private
Public
Private
Public
Public
Public
Public
Private
Public
Cost
\$221,700.00
\$213,000.00
\$230,100.00
\$222,600.00
\$225,800.00
\$87,660.00
\$224,900.00
\$221,600.00
\$125,100.00
\$215,700.00
\$92,530.00
\$217,800.00
\$89,700.00
\$229,600.00
\$101,500.00
\$115,500.00
\$104,500.00
\$69,980.00
\$219,400.00
\$64,930.00
30 Year ROI
Annual ROI
\$2,412,000.00
8.70%
\$2,064,000.00
8.30%
\$1,949,000.00
7.90%
\$1,947,000.00
8.00%
\$1,938,000.00
8.00%
\$1,937,000.00
11.20%
\$1,915,000.00
7.90%
\$1,878,000.00
7.90%
\$1,854,000.00
9.80%
\$1,794,000.00
7.90%
\$1,761,000.00
10.60%
\$1,752,000.00
7.70%
\$1,727,000.00
10.70%
\$1,716,000.00
7.50%
\$1,703,000.00
10.20%
\$1,694,000.00
9.70%
\$1,690,000.00
10.10%
\$1,685,000.00
11.50%
\$1,676,000.00
7.60%
\$1,668,000.00
11.70%

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