A student knows correct answers to 6 questions out of 9 questions from the book. (A) If a professor asks 5 questions from the book, what is the probability that a student knows correct answers to at least 4 of these questions? (B) Let Y be the number of questions that can be answered correctly by the student from a sample of 5 questions asked by the professor. Find the expected value and the standard deviation of Y.

A student knows correct answers to 6 questions out of 9 questions from the book. (A) If a professor asks 5 questions from the book, what is the probability that a student knows correct answers to at least 4 of these questions? (B) Let Y be the number of questions that can be answered correctly by the student from a sample of 5 questions asked by the professor. Find the expected value and the standard deviation of Y.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

A student knows correct answers to 6 questions out of 9 questions from the book.
(A) If a professor asks 5 questions from the book, what is the probability that a
student knows correct answers to at least 4 of these questions?
(B) Let Y be the number of questions that can be answered correctly by the
student from a sample of 5 questions asked by the professor. Find the expected value
and the standard deviation of Y.

Expert Solution