A student takes a multiple choice exam with 10 questions. Each of the questions is worth 10% of the final grade. A passing grade is 70% or better. Suppose the student was unable to study for the exam and only knows 60% of the material.
a. Find the probability that the student gets 7 questions correct. Enter answer rounded to 2 decimal places. Do not answer question as a percent.
b. Find the probability that the student passes the exam. Enter answer rounded to 2 decimal places. Do not answer question as a percent.
c. Find the probability that the student receives an A on the exam, 90% or higher. Enter answer rounded to 2 decimal places. Do not answer question as a percent.
d. How many questions would you expect the student to get correct (the mean or average)?
e. What is the variance and standard deviation for the expected number of correct answers? Enter answer rounded to 1 decimal place.