In a typical package of jellybeans, 40% of the candies are orange. Five, 5, jellybeans are selected from small jellybean package that contains 20 candies. If X represents the number of orange jellybeans, then determine each of the following. Show all work, use proper notation and provide a therefore statement. Round to the nearest thousandth (3 decimal places) for each probability. a) P(X = 3) if each jellybean is put back in the package after it is selected. b) P(X = 3) if each jellybean is not put back in the bag after it is selected. c) E(X) if each jellybean is put back in the bag after it is selected.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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In a typical package of jellybeans, 40% of the candies are orange. Five, 5, jellybeans are selected from small jellybean package that contains 20 candies. If X represents the number of orange jellybeans, then determine each of the following. Show all work, use proper notation and provide a therefore statement. Round to the nearest thousandth (3 decimal places) for each probability.

a) P(X = 3) if each jellybean is put back in the package after it is selected.

b) P(X = 3) if each jellybean is not put back in the bag after it is selected.

c) E(X) if each jellybean is put back in the bag after it is selected.

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