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kkurt [141]
3 years ago
9

Suppose you're taking an Honors Algebra 1 multiple choice test. The test consists of 40 questions, each having 5 options. If you

guess at all 40 questions, what is the mean of the number of correct answers?
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:8

Step-by-step explanation:

We have given test consists of 40 multiple choice questions having five options for each question.

Suppose there is one correct answer to each question

therefore probabilty of getting a correct answer on making a guess is \frac{1}{5}

i.e. 1 out of 5 questions is correct

Using binomial distribution

where n=40 p=\frac{1}{5}

mean of binomial distribution is np

therefore mean of no of correct answers=40\times \frac{1}{5}

                                                                    =8

     

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By the FTC, the derivative is

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