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