A bin contains 1 red and 4 green balls. 3 balls are chosen at random, with replacement. Let the random variable X be the number of green balls chosen. (a) Explain why X is a binomial random variable. trials are independen, and the probability of getting green balls is constant, as there is replacement. (b) Fill out the following probability distribution table. (Round your answers to four decimal places) P(X) 3. (C) Find the expected value of X. (d) Interpret the expected value. Submit Question

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 bin contains 1 red and 4 green balls. 3 balls are chosen at random, with replacement.
Let the random variable X be the number of green balls chosen.
(a) Explain why X is a binomial random variable.
trials are independen, and the probability of
getting green balls is constant, as there is
replacement.
(b) Fill out the following probability distribution table. (Round your answers to four decimal places)
P(X)
3.
(c) Find the expected value of X.
(d) Interpret the expected value.
Submit Question
of
of
Transcribed Image Text:A bin contains 1 red and 4 green balls. 3 balls are chosen at random, with replacement. Let the random variable X be the number of green balls chosen. (a) Explain why X is a binomial random variable. trials are independen, and the probability of getting green balls is constant, as there is replacement. (b) Fill out the following probability distribution table. (Round your answers to four decimal places) P(X) 3. (c) Find the expected value of X. (d) Interpret the expected value. Submit Question of of
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