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31 August, 09:26

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed

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  1. 31 August, 09:52
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    The probability of obtaining a head or tail in tossing a coin is modeled by the binomial distribution.

    The probability of obtaining heads (success) is p = 1/2.

    In n tosses, the expected statistical parameters are

    m = np, the mean

    σ = √[np (1-p) ]

    In 72 tosses of the coin, the standard deviation for the number of heads obtained is

    σ = √[72 * (0.5) * (0.5) ]

    = 4.243

    Answer: 4.243
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