Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with proability of success (correct) given by p=0.4. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.

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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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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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with proability of success (correct) given by p=0.4. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 4.

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Givensample size(n)=7p=0.4Let "x" be the no.of correct answersx~Binomial(n=7,p=0.4)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1,..,n

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