(Solved): Jeremiah and Bella are two friends who say they have no previous knowledge of statistics. They are ...

Jeremiah and Bella are two friends who say they have no previous knowledge of statistics. They are going to take a placement test to see if they should start at the introductory level or not. The placement test is a multiple-choice test with 66 questions. Each question has 5 multiple-choice options with exactly one correct answer. What is the expected number (mean) of correct answers if a student were to randomly guess? (Do not round) What is the standard deviation for the number of correct answers if a student were to randomly guess? (Round to two decimal places) The usual number of correct answers, if a student were to randomly guess, would be . (Round to the nearest whole number that to would be within the interval.) What is the probability of getting 14 or more questions correct if you are randomly guessing? (Round to four decimal places.) What is the probability of getting 37 or more questions correct if you are randomly guessing? (Round to four decimal places.)