# QNT/351 week 3 team Academic Essay

Paper , Order, or Assignment Requirements

IMPORTANT:

Showing your work and how you reached the answer is critical in receiving your gradesimply putting down values as the final answer will not earn you any points.

Week 3 LT Assignments

1. The events X and Y are mutually exclusive. Suppose P(X) _ .05 and P(Y) _ .02. What is the probability of either X or Y occurring? What is the probability that neither X nor Y will happen?

2. Let P(X) _ .55 and P(Y) _ .35. Assume the probability that they both occur is .20. What is the probability of either X or Y occurring?

3. Suppose P(X1) = .75 and P(Y2|X1) = .40. What is the joint probability of X1 and Y2?

4. Refer to the following table.

a. Determine P(A1).

b. Determine P(B1|A2).

c. Determine P(B2 and A3).

5. Berdines Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift.

Amount of Tip Number

\$0 up to \$ 20 200

20 up to 50 100

50 up to 100 75

100 up to 200 75

200 or more 50

Total 500

a. What is the probability of a tip of \$200 or more?

b. Are the categories \$0 up to \$20, \$20 up to \$50, and so on considered mutually exclusive?

c. If the probabilities associated with each outcome were totaled, what would that total be?

d. What is the probability of a tip of up to \$50?

e. What is the probability of a tip of less than \$200?

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