A student takes the multiple-choice exam with ten questions, each with 4 possible selections for answer. A passing grade is 60% or better. Assume that the student was unable to find time to study for exam and just guesses at each question. Find out the probability that the student.
a. gets at least one question correct.
b. passes the exam.
c. receives an "A" on the exam (90% or better).
d. How many questions would you expect the student to get correct?
e. Obtain standard deviation of number of questions that the student gets correct