Question #224804
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with probability of success (correct) given by 0.5. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4
1
Expert's answer
2021-08-10T14:16:22-0400

This is a binomial distribution with n=15, p=0.5.

P(X<4)=Σi=03C7i0.5i0.515−i=0.0176.P(X<4)=\Sigma_{i=0}^3C_7^i0.5^i0.5^{15-i}=0.0176.


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