A student guesses on every question of a multiple-choice test that has
8
questions, each with
4
possible answers. What is the probability that the student will get at least
6
of the questions right?
Here, n = 8, p = 0.25, (1 - p) = 0.75 and x = 6
As per binomial distribution formula P(X = x) = nCx * p^x * (1 -
p)^(n - x)
We need to calculate P(X >= 6).
P(X >= 6) = (8C6 * 0.25^6 * 0.75^2) + (8C7 * 0.25^7 * 0.75^1) +
(8C8 * 0.25^8 * 0.75^0)
P(X >= 6) = 0.0038 + 0.0004 + 0
P(X >= 6) = 0.0042
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