7. Suppose you order a new pair of swimming goggles and that they will be manufactured with a defect making them leaky with probability 1/40. (a) What is the probability of receiving a defective pair, and then again receiving a defective pair when you re-order the goggles? (b) What assumption did you make in order to compute your answer to part (a)? (c) What is the probability that you receive a defective pair and then a functioning pair when you re-order the goggles? (d) Give the probability in terms of K that you receive K defective pairs of goggles, where K≥ 1.

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7. Suppose you order a new pair of swimming goggles and that they will be manufactured with a defect
making them leaky with probability 1/40.
(a) What is the probability of receiving a defective pair, and then again receiving a defective pair
when you re-order the goggles?
(b) What assumption did you make in order to compute your answer to part (a)?
(c) What is the probability that you receive a defective pair and then a functioning pair when you
re-order the goggles?
(d) Give the probability in terms of K that you receive K defective pairs of goggles, where K > 1.
Transcribed Image Text:7. Suppose you order a new pair of swimming goggles and that they will be manufactured with a defect making them leaky with probability 1/40. (a) What is the probability of receiving a defective pair, and then again receiving a defective pair when you re-order the goggles? (b) What assumption did you make in order to compute your answer to part (a)? (c) What is the probability that you receive a defective pair and then a functioning pair when you re-order the goggles? (d) Give the probability in terms of K that you receive K defective pairs of goggles, where K > 1.
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