56.4 Which of these events are simple events? (Select all that apply.)BCD(d) What outcomes are in the event B and C?O {AM, MA, MM}{MM}O {AA, AM, MA}O {AA}O {AM, MA}What outcomes are in the event B or C?O {AA}O {MM}{AM, MA}O {AM, MA, AA}O {MM, AM, MA} Consider the chance experiment in which the type of transmission - automatic (A) or manual (M) - is recorded for each of the next two cars purchased from a certain dealer.(a) What is the set of all possible outcomes (the sample space)?Sample space = {AA, AM, MA, MM}Sample space = {A, M, AA, AM, MA, MM}Sample space ={AA, AM, MM}Sample space = {A, M}Sample space = {A, M, AM}(b) Display the possible outcomes in a tree diagram. (Do this on paper. Your instructor may ask you to turn in this sketch.)(c) List the outcomes in each of the following events.I. B, the event that at least one car has a manual transmission{AM, MA}{AA}{MM}{MM, AM, MA}{AM, MA, AA}II. C, the event that exactly one car has an automatic transmissionO {AA, AM, MA}{AM, MA}{MM}{AA}{AM, MA, MM}III. D, the event that neither car has an automatic transmissionO {AA}{MM}{AM, MA}{AA, AM, MA}

Sample space is the set of all possible outcomes of an experiment.An event is a set of possible…

Consider the chance experiment in which the type of transmission automatic (A) or manual (M) is recorded for each of the next two cars purchased from a certain dealer. (a) What is the set of all possible outcomes (the sample space)? O Sample space= {AA, AM, MA, MM} O Sample space = {A, M, AA, AM, MA, MM) O Sample space= {AA, AM, MM} O Sample space = {A, M) O Sample space = {A, M, AM) (b) Display the possible outcomes in a tree diagram. (Do this on paper. Your instructor may ask you to turn in this sketch.) (c) List the outcomes in each of the following events. I. B, the event that at least one car has a manual transmission O {AM, MA} O {AA} O (MM) O {MM, AM, MA) O {AM, MA, AA} II. C, the event that exactly one car has an automatic transmission O (AA, AM, MA) O {AM, MA) O (MM) O {AA) O {AM, MA, MM} III. D, the event that neither car has an automatic transmission O {AA} O (MM) O {AM, MA) O {AA, AM, MA)