Grantham MA215 Probability Problems

MA215 Grantham University Probability Problems Questions

Compute the weighted mean for the following data.

xi   Weight(wi)

19         12

17         13

14         28

13         10

18          10

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%