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13 October, 10:06

Assume that random guesses are made for eight multiple choice questions on an SAT test so that there are n = 8 trials, each with probability of success (correct) given by p=0.2. find the indicated probability for the number of correct answer.

find the probability that the number x or correct answer is fewer than 4

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  1. 13 October, 10:26
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    Step-by-step explanation:

    consider k the numbe of correct answers

    P (k) = kC8 * (0,2) ^k * (0,8) ^ (8-k)

    example:

    The probability of having 2 correct answers = 2C8 * (0,2) ^2 * (0,8) ^ (6) = 0.294

    the probability that the number x or correct answer is fewer than 4 =

    p (0) + p (1) + p (2) + p (3) = 0.944
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