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(a) Among nine randomly selected goblets, how likely is it that only one is a second? Recall that the formula for calculating binomial pmf probabilities is: b(x; n, p) = where x represents the number of successes (S), n represents the number of trials, and p represents the probability of success, P(S). Also recall that (:). ni C Tn- x)lx A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." Nine goblets are randomly selected and we are asked to find the probability that only one goblet is a "second." Thus, and x Therefore, in this situation, we have: b

(a) Among nine randomly selected goblets, how likely is it that only one is a second? Recall that the formula for calculating binomial pmf probabilities is: b(x; n, p) = where x represents the number of successes (S), n represents the number of trials, and p represents the probability of success, P(S). Also recall that (:). ni C Tn- x)lx A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." Nine goblets are randomly selected and we are asked to find the probability that only one goblet is a "second." Thus, and x Therefore, in this situation, we have: b

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." (a) Among nine randomly selected goblets, how likely is it that only one is a second? (b) Among nine randomly selected goblets, what is the probability that at least two are seconds? (c) If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds? Step 1 (a) Among nine randomly selected goblets, how likely is it that only one is a second? Recall that the formula for calculating binomial pmf probabilities is: b(x; n, p) = p*(1 p)"- where x represents the number of successes (S), n represents the number of trials, and p represents the probability of success, P(S). Also recall that (:) - n! = Cn, x = (n-x)!x! A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." Nine goblets are randomly selected and we are asked to find the probability that only one goblet is a "second." Thus, p = ,n = , and x = Therefore, in this situation, we have: b
Transcribed Image Text:A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." (a) Among nine randomly selected goblets, how likely is it that only one is a second? (b) Among nine randomly selected goblets, what is the probability that at least two are seconds? (c) If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds? Step 1 (a) Among nine randomly selected goblets, how likely is it that only one is a second? Recall that the formula for calculating binomial pmf probabilities is: b(x; n, p) = p*(1 p)"- where x represents the number of successes (S), n represents the number of trials, and p represents the probability of success, P(S). Also recall that (:) - n! = Cn, x = (n-x)!x! A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws and must be classified as "seconds." Nine goblets are randomly selected and we are asked to find the probability that only one goblet is a "second." Thus, p = ,n = , and x = Therefore, in this situation, we have: b
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