(a) Suppose one jelly bean is to be selected at random. What is the probability that a purple jelly bean is selected? (b) Suppose 9 jelly beans are to be selected at random with replacement. Let X be the number of green jelly beans in the selected. Calculate P(X probability that there is exactly one green jelly bean in the 9 selected. 1), the = (c) Now suppose 5 beans are to be selected at random without replacement. Let Y be the number of purple jelly beans in the selected. Calculate P(Y = 1), the probability that there is only one purple jelly bean in the 5 selected.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A jar contains 6 green jelly beans and 5 purple jelly beans.
(a) Suppose one jelly bean is to be selected at random. What is the probability that
a purple jelly bean is selected?
(b) Suppose 9 jelly beans are to be selected at random with replacement. Let X
be the number of green jelly beans in the selected. Calculate P(X :
probability that there is exactly one green jelly bean in the 9 selected.
=
1), the
(c) Now suppose 5 beans are to be selected at random without replacement. Let
Y be the number of purple jelly beans in the selected. Calculate P(Y = 1), the
probability that there is only one purple jelly bean in the 5 selected.
Transcribed Image Text:A jar contains 6 green jelly beans and 5 purple jelly beans. (a) Suppose one jelly bean is to be selected at random. What is the probability that a purple jelly bean is selected? (b) Suppose 9 jelly beans are to be selected at random with replacement. Let X be the number of green jelly beans in the selected. Calculate P(X : probability that there is exactly one green jelly bean in the 9 selected. = 1), the (c) Now suppose 5 beans are to be selected at random without replacement. Let Y be the number of purple jelly beans in the selected. Calculate P(Y = 1), the probability that there is only one purple jelly bean in the 5 selected.
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