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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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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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