Question

Question Five – Quickies

For each part of this question, complete the statement or statements by typing in your answers in the provided spaces:

1. If the probabilities: that event A occurs is .45; that event B occurs is .70; and, that both A and B occur is .25,

The probability (up to 4 decimal places if needed) that events A or B (or both) occur is ________

The probability (up to 4 decimal places if needed) that event A occurs given that B occurs is ________

2. If the probabilities: that event A occurs is .30; that event B occurs is .6; and, that event B occurs given that event A occurred is .6,

Complete the following contingency table by typing the appropriate probabilities (to 2-decimal places in the spaces provided

                                             A                 A^C           total

                              B         _____        _____        _____               

                              B^C       _____         _____       _____

                           Total     _____         _____       _____

3. Given the following probability distribution of X:

x             P(x)

0             .15

1             .20

2             .40

3             .25

               The expected value (to 2-decimal places) of X is ________

               If Y = 3 + 4X, the expected value (to 2 decimal places) of Y is _________

Answer 1

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