Problem 783

A random variable represents the number of successes in 30 Bernoulli trials, each with probability of success p =0.5.

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.

 

Solution:-

 

A)     The mean of the random variable is 15.

The standard deviation of the random variable is approximately 2.739.

 

B)      P(# of success lies within 1 standard deviation of the mean) = .638

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