# QNT 351 Week 3 LT Assignment

**QNT 351 Entire Course Link**

**https://uopcourses.com/category/qnt-351/**

**QNT 351 Week 3 LT Assignment**

1. The events

*X*and

*Y*are mutually exclusive. Suppose

*P*(

*X*) _ .05 and

*P*(

*Y*) _ .02. What isthe probability of either

*X*or

*Y*occurring? What is the probability that neither

*X*nor

*Y*willhappen?

2. Let

*P*(

*X*) _ .55 and

*P*(

*Y*) _ .35. Assume the probability that they both occur is .20. Whatis the probability of either

*X*or

*Y*occurring?

3. Suppose

*P*(

*X*1) = .75 and

*P*(

*Y*2|

*X*1) = .40. What is the joint probability of

*X*1 and

*Y*2?

4. Refer to the following table.

1. Determine

*P*(

*A*1).

2. Determine

*P*(

*B*1|

*A*2).

3. Determine

*P*(

*B*2 and

*A*3).

5. Berdine’s Chicken Factory has several stores in the Hilton Head, South Carolina, area. Wheninterviewing applicants for server positions, the owner would like to include information onthe amount of tip a server can expect to earn per check (or bill). A study of 500 recentchecks 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

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

2. Are the categories “$0 up to $20,” “$20 up to $50,” and so on considered mutuallyexclusive?

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

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

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

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