3.2 Condi A drag racer has two parachutes, a main and a backup, that are designe

Question

3.2 Condi A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. Suppose that the main chute deploys with probability 0.99 and that if the main fails to deploy the backup deploys with probability 0.98. a. What is the probability that one of the two 2. parachutes deploys? b. What is the probability that the backup parachute d. deploys? 3. A population of 600 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness spec- ification. The following table presents the number of wafers in each category. A wafer is chosen at random from the population. 6. A Lot Conforming Nonconforming 165 260 12 35 40 a. If the wafer is from Lot A, what is the probability that it is conforming? b. If the wafer is conforming, what is the probability c. If the wafer is conforming, what is the probability d. If the wafer is not from Lot C, what is the proba- that it is from Lot A? that it is not from Lot C? bility that it is conforming?

Explanation / Answer

Co- Conforming

NC- Non-Conforming

(a):

P(Co/A) = P(CoA)/P(A)

= 88/100 = 0.88

(b):

P(A/Co) = P(CoA)/P(Co)

= 88/513 = 0.1715

(c):

P(C/Co) = P(CCo)/ P(Co) = 260/513 = 0.506

Probability that it is not from C is 1-0.506 = 0.494

(d):

P(Co/AUB) = 253/300

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