# QNT 351 Week 3 LT Assignment

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Week 3 LT Assignments

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?

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?

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

Refer to the following table.

Determine P(A1).

Determine P(B1|A2).

Determine P(B2 and A3).

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

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 mutuallyexclusive?

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?