For each part of this question, complete thestatement or statements by typing in your answers in the providedspaces:
- If the probabilities: that event A occurs is .55; that event Boccurs is .60; and, that both A and B occur is .35,
The probability (up to 4 decimalplaces if needed) that events A or B (or both) occur is______
The probability (up to 4 decimalplaces if needed) that event B occurs given that A occurs is______Â Â Â Â Â Â Â Â Â Â
- If the probabilities: that event A occurs is .40; that event Boccurs is .7; and, that event B occurs given that event A occurredis .4,
Complete the following contingencytable by typing the appropriate probabilities (to 2-decimal placesin the spaces provided
                                                      A                   AC              total
                                    B           ____           ____           ____                    Â
                                    BC         ____            ____            ____
                              Total        ____           ____            ____
c. Given the following probability distribution of X:
x                P(x)
0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â .15
1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â .20
2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â .40
3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â .25
                  Theexpected value (to 2-decimal places) of X is_____
                  IfY = 3 + 4X, the expected value (to 2 decimal places) of Y is_____
