Question

An exhibitor at an arts and crafts fair sells only 2 types of products – jams and marinades.  When a customer enters the exhibitor’s booth, the exhibitor believes that there is a probability of .60 that the customer would purchase jam.  If the customer purchases jam, there a probability of .30 that the customer would also purchase marinade.  If the customer does not purchase jam, there is a probability of .4 that the customer would purchase marinade

1. Complete the following probability tree by filling in the blanks with either the appropriate probabilities (to 2 decimal places) or symbols if appropriate.  The blanks at the end of each possible outcome is to be filled in with what that outcome represents (e.g., JM would represent the outcome that the customer purchased jam and marinade) The blanks under the column X are to be filled in with the number of types of products purchased (e.g. if the customer purchased 1 of the 2 types of produced you would fill in the number 1 under the column X)  Note: If you don’t want to use superscripts you can use ‘ instead.  For example, J^C can be typed as J’.

   Outcome         Prob.          X

                          

                                                                                                                  M                JM                ____          2

                                                                                       ____

                                                                     J

                                                                                       ____

                                      ­.60                                                                          M^C

                                                                                                                                      ____              ____       ____

                                                      

                      ____                                        

                                                                                                                                  M              ____                ____       ____

                                               J^C                   ____

                                                                                        ____

                                                                                                                      M^C

       ____                ____       ____                 

2. Complete the following statements by inserting the appropriate probabilities (to 4 decimal places if necessary) in the spaces provided.

1. The probability that a customer would purchase either jam or marinade (or both) is ____

2. The probability that a customer would purchase both jam and marinade is ____

3. The probability that the customer purchased jam knowing that if he/she purchased marinade is

____

Answer 1