A student takes a multiple-choice test that has 40 questions. Each question has 5 choices. The student did not study for the test and decides to randomly guess at each question.

a) What is the sample size? n =

b) What is the probability of success for this problem (written as a decimal)? p =

c) Find the probability the student gets exactly 10 problems correct.P(x = 10) =(Round to 4 decimal places.)

Would this be unusual?

d) Calculate the mean.=

e) Calculate the standard deviation.=(Round to 2 decimal places.)