# QNT 351 WEEK 3 LT Assignment-Week 3

## QNT 351 WEEK 3 LT Assignment-Week 3

**QNT 351 WEEK 3 LT Assignment-Week 3**

**Complete the attached document**

- 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?

- 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?

- Suppose
*P*(*X*_{1}) = .75 and*P*(*Y*_{2}|*X*_{1}) = .40. What is the joint probability of*X*_{1}and*Y*_{2}?

- Refer to the following table.

- Determine
*P*(*A*_{1}). - Determine
*P*(*B*_{1}|*A*_{2}). - Determine
*P*(*B*_{2}and*A*_{3}).

- 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

- What is the probability of a tip of $200 or more?
- Are the categories “$0 up to $20” “$20 up to $50” and so on considered mutually exclusive?
- If the probabilities associated with each outcome were totaled what would that total be?
- What is the probability of a tip of up to $50?
- What is the probability of a tip of less than $200?

**QNT 351 WEEK 3 LT Assignment-Week 3**