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2-5 Multiplication and Total Probability Rules 2-105. Suppose that P(ATB)=0.3 and P(B) = = 0.6. Deter- mine the following: no Ostalog (a) P(ANB) (b) P(A'nB)
2-126. Disks of polycarbonate plastic from a supplier are ana- lyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: ime Shock Resistance Scratch Resistance High High Low | E 10 to 1 16 snegoro 4 70 Lowon
2-136. The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the prob- ability that a device is functional does not depend on whether or not other devices are functional. What is the probability that the circuit operates? 29 0.8 0.7 0.6 0.95 0.95 0.95
probability that le 2-147. Customers are used to evaluate preliminary prod- uct designs. In the past, 95% of highly successful products received good reviews, 60% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 45% of products have been highly successful, 30% have been moderately successful, and 25% have been poor products. (a) What is the probability that a product attains a good review? (b) If a new design attains a good review, what is the probability that it will be a highly successful product? bi si la (c) If a product does not attain a good review, what is the prob- ability that it will be a highly successful product? 000