STATISTICS
posted by John .
Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find the mean and standard deviation of this random variable. I have a mean of 4 and a standard deviation of 2.25 is this correct

For this type of problem:
mean = np = (12)(.25) = 3
standard deviation = √npq = √(12)(.25)(.75) = √(2.25) = 1.5
Note: q = 1  p 
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
nequals=55, xequals=22, pequals=0.65