On a multiple choice test with 19 questions, each question

Adrien Barron

Adrien Barron

Answered question

2022-01-29

On a multiple choice test with 19 questions, each question has four possible answers, one of which is correct. For students who guess at all answers how do you find the mean for the number of correct answers?

Answer & Explanation

Rosa Nicholson

Rosa Nicholson

Beginner2022-01-30Added 13 answers

There are four possible responses for each query. A random guess has a one in four chance, or 25% likelihood, of being correct on any given issue. Each of the 19 questions has the same probability.
As a result, if each question has a 25% probability of being answered correctly and there are 19 total questions, you may anticipate to correctly answer 25% * 19 = 4.75.

dodato0n

dodato0n

Beginner2022-01-31Added 9 answers

Number of questions(n) = 19 
Probability of correct answer (p) = 1/4 
This follows Binomial with n=19 and p=1/4 
Mean of Binomial distribution is = n * p 
mean = 19 * 1/4 
mean = 4.75

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