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24 May, 07:29

The average score of 100 students taking a statistics final was 70, with a standard deviation of 7. assuming a normal distribution, what is the probability that a student scored 90 or higher

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  1. 24 May, 08:26
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    The wording "a student scored 90 or higher" can be interpreted several ways.

    A suitable calculator shows that the probability a randomly selected student scored 90 or higher is about 0.0021374.

    The probability that at least one student scored 90 or higher is about

    1 - (1 - 0.0021374) ^100 ≈.1926

    The probability that exactly one student scored 90 or higher is about

    100 * (0.0021374) (1 - 0.0021374) ^99 ≈ 0.1729
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