A choice answer exam (4 choices per question) has 10 questions. A student who has not studied at all randomly answers all questions independently. a) What grade can he expect? With what standard deviation? b) What is the probability that he has exactly 7 correct answers? c) What is the probability that he obtains at least 60% on this exam?
A choice answer exam (4 choices per question) has 10 questions. A student who has not studied at all randomly answers all questions independently. a) What grade can he expect? With what standard deviation? b) What is the probability that he has exactly 7 correct answers? c) What is the probability that he obtains at least 60% on this exam?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
A choice answer exam (4 choices per question) has 10 questions. A student who has not studied at all
randomly answers all questions independently.
a) What grade can he expect? With what standard deviation?
b) What is the
c) What is the probability that he obtains at least 60% on this exam?
d) What is the probability that he gets at least one correct answer?
Expert Solution
Step 1: introduction
Given
n = 10 (number of questions), k = 7 (number of correct answers), and p = 1/4 (probability of a correct answer).
Binomial distribution formula
P(X=k)=(n choose k)*pk*(1-p)(n-k)
Step by step
Solved in 6 steps
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