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Question

A random variable represents the number of successes in 10 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

Answer 1

The mean of the binomial distribution is np and the variance is npq.

With that information you should be able to answer the questions.