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23 September, 23:17

The A. P. Statistics exam consists of a multiple-choice section in which each question has five choices. Sara estimates that she has a 75% chance of knowing each question. If she does not know the answer, she will randomly guess.

a) What is the probability of Sara getting a question correct?

b) The A. P. exam has 40 questions, how many might Sara expect to get correct?

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  1. 24 September, 01:59
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    A)

    75% she knows for sure

    Out of the remaining 25%, she has a 1/5 or 20% chance of getting it right. So,

    1/4 x 1/5 x 100 = 5%

    Total chance of getting a question right:

    75 + 5 = 80%

    b) If the total is 40, she can expect to get

    80% x 40 = 32 questions correct.
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