An exhibitor at an arts and crafts fair sells only 2 types ofproducts – jams and marinades. When a customer enters theexhibitor’s booth, the exhibitor believes that there is aprobability of .40 that the customer would purchase jam. If thecustomer purchases jam, there a probability of .30 that thecustomer would also purchase marinade. If the customer does notpurchase jam, there is a probability of .5 that the customer wouldpurchase marinade
- Complete the following probability tree by filling in theblanks with either the appropriate probabilities (to 2 decimalplaces) or symbols if appropriate. The blanks at the end of eachpossible outcome is to be filled in with what that outcomerepresents (e.g., JM would represent the outcome that the customerpurchased jam and marinade) The blanks under the column X are to befilled in with the number of types of products purchased (e.g. ifthe customer purchased 1 of the 2 types of produced you would fillin the number 1 under the column X) Note: If you don’t wantto use superscripts, you can use ‘ instead. For example,JC can be typed as J’.
  Outcome         Prob.       X
                        Â
                                                                                          M            JM             _______      2
                                                                                      _____
                                                                    J
                                                                                      _____
                                     Â.40                                                                         MC
                                                                                                      _______        _______     ___
                                         Â
                _____                            Â
                                                                                                         M      _______        _______    ___
                                              JC               _____
                                                                                        _____
                                                                                                                     MC
_______Â Â Â Â Â Â Â Â _______Â Â Â Â Â ___Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
- Complete the following statements by inserting theappropriate probabilities (to 4 decimal places if necessay) in thespaces provided.
- The probability that a customer would purchase either jam ormarinade (or both) is _______
- The probability that a customer would purchase both jam andmarinade is ________
- The probability that the customer purchased jam knowing that ifhe/she purchased marinade is
_______
