A multiple-choice test is given with 5 choices (only one is correct) for each of 4 questions ...

A multiple-choice test is given with 5 choices (only one is correct) for each of 4 questions. Answering each of the 4 questions by guessing constitutes a binomial experiment with an associated binomial distribution. For this distribution, Write the probability function. Construct a table. Draw a histogram. Compute the mean and standard deviation.