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Social ScienceAssume 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 p=0.25Find the probability that the number x of correct answers is fewer than4.
Find the probability that the number x of correct answers is fewer than
Expert Answer
It is given that X ~B(7,0.25).
The PMF of binomial distribution is given by,
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п piq 0,1,2 .., n ; q =1-p P(X=x) ;Otherwise.
The probability that the number X of c...
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Р(х <4)- Р(х -0) + P(х -1)+ P(х -2)+ P(X -3) (025)'0-025)(02s)0-025)- 0.250-025)(023'0-025 7-1 + (1- 7-2 7-3 [())(0.1334)+(7)(0.25) (0.178) (21)(0.0625)(0.2373)+ (35)(0.015625) (0.3164) [0.1334 0.3115+0.3115 +0.1730 0.9294
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