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