Consider the following sample space S and several events def

Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.

Answer questions 45-47 based on above information.

45. F H is ___________.

a) {Meagan}

b) {Betty, Patty, Abel, Meagan}

c) empty, since F and H are complements

d) empty, since F and H are independent

e) empty, since F and H are mutually

exclusive

46. F H is ___________.

a) {Meagan}

b) {Betty, Abel, Patty, Meagan}

c) empty, since F and H are complements

d) empty, since F and H are independent

e) empty, since F and H are mutually

exclusive

47. The complement of F is ___________.

a) {Albert, Betty, Jack, Patty}

b) {Betty, Patty, Meagan}

c) {Albert, Abel, Jack}

d) {Betty, Abel}

e) {Meagan}

Solution

45.

Collecting all the data in F and H,

F U H = {Betty, Patty, Abel, Meagan} [OPTION B]

46.

Getting the common data points in F and H, we onlt have Meagan,

F n H = {Meagan} [ANSWER, A]

*************

47.
Here,

S = {Albert, Betty, Abel, Jack, Patty, Meagan}

and

F = {Betty, Patty, Meagan}

Thus, those not in F is

F\' = {Albert, Abel, Jack} [OPTION C]