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1) Consider the following sample space, S, and several events defined on it. S =

ID: 3303309 • Letter: 1

Question

1)

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}. The complement of F is ___________.

{Albert, Betty, Jack, Patty}

{Betty, Patty, Meagan}

{Albert, Abel, Jack}

{Betty, Abel}

{Meagan}

2)

A(n) _____ distribution can be a useful tool for evaluating risk.

probability

collectively exhaustive

complementary

likelihood

outcome

3)

A(n) _____ distribution is a statistical model that shows the possible outcomes of a particular event or course of action as well as the statistical likelihood of each event.

probability

collectively exhaustive

complementary

likelihood

outcome

4)

f X and Y are mutually exclusive events, then if X occurs _______.

Y must also occur

Y cannot occur

X and Y are independent

X and Y are complements

A and Y are collectively exhaustive

a)

{Albert, Betty, Jack, Patty}

b)

{Betty, Patty, Meagan}

c)

{Albert, Abel, Jack}

d)

{Betty, Abel}

e)

{Meagan}

Explanation / Answer

The complement of F is ___________.{Albert, Abel, Jack} hence C. All the events in sample space that are not present in F

b)

A(n) _____ distribution can be a useful tool for evaluating risk. Probability distribution can tell us the distribution of the risk of the portfolio

c)

A(n) _____ distribution is a statistical model that shows the possible outcomes of a particular event or course of action as well as the statistical likelihood of each event. Outcome distribution tells us the probability of each outcome along with the outcome .

4)

Y cannot occur . When 2 events are mutually exclusive then if 1 occurs the other cant occur. so if X occurs, Y cant occur