Tutor Session #1 - Chapter 6.3
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Feb 20, 2024
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Example 6.7 In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable and assume that the probability that a bit is received in error is 107, If 16 million bits are transmitted, what is the probability that 150 or fewer errors occur? Example 6.8 The manufacturing of semi-conductor chips produces 2% defective chips. Assume the chips are independent and that a lot contains 1000 chips. What is the probability that between 20 and 30 chips (inclusive) are defective? Example 6.9 Canadian Blood Services anticipate the need for at least 1850 units of O-negative blood next year. About 6% of the population has an O- negative blood type. It is estimated they will collect blood from 32,000 donors next year. How likely is it they will meet their O-negative blood type needs?
6.17 Convert the following binomial distribution problems to normal distribution problems. Use the correction for continuity. a. P(x<16|n =30and p = 0.70) + Answer b. P(10 <x<20)|n=25and p = 0.50) + Answer c. P(x=22|n=40and p = 0.60) + Answer d. P(x>14|n =16 and p = 0.45) + Answer 6.21 One study on managers’ satisfaction with management tools reveals that 59% of all managers use self-directed work teams as a management tool. Suppose 70 managers selected randomly in Canada are interviewed. What is the probability that fewer than 35 use self- directed work teams as a management tool?
6.23 Suppose that a recent market research reported that HP controls 23% of the PC market in Canada. A business analyst randomly selects 130 recent purchasers of PCs in Canada. a. What is the probability that more than 35 PC purchasers bought an HP computer? + Answer b. What is the probability that between 24 and 34 PC purchasers (inclusive) bought an HP computer? + Answer c. What is the probability that fewer than 19 PC purchasers bought an HP computer? + Answer d. What is the probability that exactly 29 PC purchasers bought an HP computer? + Answer
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