Suppose that a student takes a mutliple-choice quiz having 8 questions with choicesA,B,C, D, or E for each of the questions.Let x = # correct answers.

If the student makes random guesses for all the questions, then find

a) the probability thathe gets exactly 5questions correct:P(x=5)=

(Use 3 decimal place accuracy)

b)the probability that he gets all of them wrong:P(x=0)=

(Use 3 decimal place accuracy)

c)theprobability that he gets at least 1 correct:P(x1)=

(Use 3 decimal place accuracy)

d)the expected number of correct answers:=

(Use 1 decimal place accuracy)

e) the standard deviation of the number of correct answers:=

(Use 1 decimal place accuacy