Question

In: Statistics and Probability

assume that random guesses are made for 7 multiple choice questions test, with 5 choices for...

assume that random guesses are made for 7 multiple choice questions test, with 5 choices for each questions, so that there are n=7 trials, each with probability of success (correct) given by p=0.20 Find the probability of not correct answers

Expert Solution

We have 5 choices for each.

p = probability of selecting correct choice = 0.20 ( out of 5 choice 1 choice is correct choice so 1/ 5 = 0.20)

n = total number of question (trials ) = 7

We use binomial distribution.

The probability of not correct answers means we have to find P (X = 0 )

We use formula

We plug the value of n= 7 and x = 0

! means factorial sign

0! is always 1 beacuse we can arrage 0 by 1 way

0! = 1

We use formula

So we get

Final answer :-

probability of not correct answers = 0.2097152

orchestra answered 1 year ago

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