A student has 10 questions that are multiple choice. A passing grade is 70% or better. Suppose that the student was unable to find time to study 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 test. 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.