A multiple-choice test consists of 115 questions with possible answers of a, b, c, d, e. Let us say that you randomly guessed on each question (each question has one correct answer) and we want to look at the number of correct responses. np = n(1 − p) = - Both these values are bigger than Can we use the normal approximation to the binomial distribution (type YES or NO)? What is the probability of the number of correct responses being: a) at least 30 ? b) less than 30 ? c) is between 27 and 30 (inclusive) ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A multiple-choice test consists of 115 questions with possible answers of
a, b, c, d, e. Let us say that you randomly guessed on each question (each question
has one correct answer) and we want to look at the number of correct responses.
np =
n(1 − p) =
Both these values are bigger than
Can we use the normal approximation to the binomial distribution (type YES or NO)?
What is the probability of the number of correct responses being:
a) at least 30 ?
b) less than 30 ?
c) is between 27 and 30 (inclusive) ?
Transcribed Image Text:A multiple-choice test consists of 115 questions with possible answers of a, b, c, d, e. Let us say that you randomly guessed on each question (each question has one correct answer) and we want to look at the number of correct responses. np = n(1 − p) = Both these values are bigger than Can we use the normal approximation to the binomial distribution (type YES or NO)? What is the probability of the number of correct responses being: a) at least 30 ? b) less than 30 ? c) is between 27 and 30 (inclusive) ?
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