### 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.