8.) Suppose four coins are tossed. Let X be the random variable representing the number of HEADS that occur. Construct the Probability Distribution and solve for the mean, variance and standard deviation. (X) P(X) X.P(X) X².P(X)

8.) Suppose four coins are tossed. Let X be the random variable representing the number of HEADS that occur. Construct the Probability Distribution and solve for the mean, variance and standard deviation. (X) P(X) X.P(X) X².P(X)

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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Question

solve the following problem and show your complete solutions

8.) Suppose four coins are tossed. Let X be the random variable representing the number of HEADS that
occur. Construct the Probability Distribution and solve for the mean, variance and standard deviation.
(X)
P(X)
X.P(X)
X².P(X)
Mean:
Variance:
Standard Deviation:

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Step 1: Information given is

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Step 2: Constructing probability distribution table

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Step 3: Finding Mean

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Step 4: Finding Variance and standard deviation

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