Find the mean and standard deviation of the random variable. Find the probability that the number of successes lies within 1 standard deviation of the mean. The mean of the random variable is 11. (Type an integer or a decimal.) standard deviation of the random variable is approximately und to three decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A random variable represents the number of successes in 20 Bernoulli trials, each with probability of success p = 0.55.
(A) Find the mean and standard deviation of the random variable.
(B) Find the probability that the number of successes lies within 1 standard deviation of the mean.
(A) The mean of the random variable is 11. (Type an integer or a decimal.)
The standard deviation of the random variable is approximately
(Round to three decimal places as needed.)
Transcribed Image Text:A random variable represents the number of successes in 20 Bernoulli trials, each with probability of success p = 0.55. (A) Find the mean and standard deviation of the random variable. (B) Find the probability that the number of successes lies within 1 standard deviation of the mean. (A) The mean of the random variable is 11. (Type an integer or a decimal.) The standard deviation of the random variable is approximately (Round to three decimal places as needed.)
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