SOLUTION: multiple-choice test consists of 29 questions with possible answers of a, b, c, d. Estimate the probability that with random guessing, the number of correct answers is at least 1

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Question 926303: multiple-choice test consists of 29 questions with possible answers of a, b, c, d. Estimate the probability that with random guessing, the number of correct answers is at least 14.
z-value (Use continuity correction)=
Probability=

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(correct) = .25, n = 29
.....
P(x ≥ 14) = 1 - P(x ≤ 13)
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(x ≥ 14) = 1 - P(x ≤ 13) = 1 - binomcdf(29, .25, 13) = 1 - .9944 = .0056