A student claims they can tell whether a chicken tender came from Raising Cane’s or Layne’sby taste alone. As a test, they are given 14 tenders, one at a time (each is either from Cane’sor Layne’s) and asked to identify each one. Assume that they are just guessing randomly(with either guess equally likely).(a)  What is the probability they would guess correctly for exactly 9 tenders?(b)  What is the probability they would guess correctly for at most 3 tenders?(c)  What is the probability they would guess correctly for at least 12 tenders?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 student claims they can tell whether a chicken tender came from Raising Cane’s or Layne’s
by taste alone. As a test, they are given 14 tenders, one at a time (each is either from Cane’s
or Layne’s) and asked to identify each one. Assume that they are just guessing randomly
(with either guess equally likely).
(a)  What is the probability they would guess correctly for exactly 9 tenders?
(b)  What is the probability they would guess correctly for at most 3 tenders?
(c)  What is the probability they would guess correctly for at least 12 tenders?

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