**SHORT ANSWER:** Write the word or phrase that best completes each statement or answers the question.**Provide an appropriate response.**9) Let the random variable \( x \) represent the number of tails in five flips of a coin. Construct a table describing the probability distribution, then find the mean and standard deviation.**Table: Probability Distribution**| \( x \) | \( P(x) \) | \( x \cdot P(x) \) | \( x^2 \) | \( x^2 \cdot P(x) \) ||---------|------------|--------------------|-----------|-----------------------|| 0 | | | | || 1 | | | | || 2 | | | | || 3 | | | | || 4 | | | | || 5 | | | | |**Instructions:**- Complete the table by calculating the probabilities \( P(x) \) for each value of \( x \) using the binomial distribution formula.- Calculate \( x \cdot P(x) \) and \( x^2 \cdot P(x) \) for each \( x \) value.- Use the completed table to find the mean (\( \mu \)) and standard deviation (\( \sigma \)) of the distribution.

Givenn=5p=12=0.5 ( a coin has 2 chance i.e., head or…

Answered: 9) Let the random variable x represent…

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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9) Let the random variable x represent the number of tails in five flips of a coin. Construct a table describing the probability distribution, then find the mean and standard deviation. 9) P(x) x*P(x) x^2 x^2*P(x) 1 3 4 5

9) Let the random variable x represent the number of tails in five flips of a coin. Construct a table describing the probability distribution, then find the mean and standard deviation. 9) P(x) xP(x) x^2 x^2P(x) 1 3 4 5