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

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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