A student takes a multiple choice test where each question has 4 possible answer with only one correct and 3 others wrong. He gets the right answer if he knows it, otherwise he guesses at random. Assume the probability for him to know the answer to a question is 0.8. Suppose there are 100 questions on the test. Let X be the number of correctly answered questions. Assuming X has a Binomial distribution find P(75 < X <= 87)

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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