A manufacturer knows that on average 10% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.53; (b) the probability that at least y of them will not require repairs is greater than 0.82 Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) x = (Type a whole number.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A manufacturer knows that on average 10% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the
smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.53; (b) the probability that at least y of them
will not require repairs is greater than 0.82.
Click here to view page 1 of the table of binomial probability sums.
Click here to view page 2 of the table of binomial probability sums.
(a) x = (Type a whole number.)
Transcribed Image Text:A manufacturer knows that on average 10% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.53; (b) the probability that at least y of them will not require repairs is greater than 0.82. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) x = (Type a whole number.)
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