Question

If a student estimated that the probability of correctly answering each question in a​ multiple-choice question...

If a student estimated that the probability of correctly answering each question in a​ multiple-choice question is 75​%, use the binomial tables to determine the probability of earning at least a 70​% grade on a 20​-question exam.

The probability to at least earn a 70% grade is?

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Answer #1

Earning at least a 70​% grade on a 20​-question exam means to correctly answer 20*0.7 = 14 questions.

Let X denotes the number of correct answers in a random sample of 20​-question exam.

X ~ Binomial( n = 20, p = 0.75)

The probability mass function of X is

Now,

The probability to at least earn a 70% grade is

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