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23 January, 09:08

The probability that an individual has 20-20 vision is 0.160.16. in a class of 4040 students, what is the mean and standard deviation of the number with 20-20 vision in the class? round to the nearest thousandth.

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  1. 23 January, 09:48
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    The mean is 6.4 and the standard deviation is 2.319.

    The mean of a binomial distribution is given by

    μ = np = 40 (0.16) = 6.4

    The standard deviation is given by

    σ = √ (n) (p) (1-p) = √40 (0.16) (0.84) = √5.376 = 2.319
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