Compute the weighted mean for the following data.

Question 2

If P(A) = 0.50, P(B) = 0.40, and P(A ˆª 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.

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Attachments
20190623141055roi_by_major (12 kB)