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17 September, 10:59

A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard deviation of the binomial distribution.

8.9

80.0

119.9

0.2

+3
Answers (1)
  1. 17 September, 11:57
    0
    Answer: option 1 is the correct answer

    Step-by-step explanation:

    Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

    The probability of rolling a 5 or a 6 is 1/3. It means that probability of success, p = 1/3. The probability of failure, q is

    1 - probability of success. It becomes

    1 - 1/3 = 2/3

    The formula for standard deviation is expressed as

    √npq. Therefore

    Standard deviation = √360 * 1/3 * 2/3

    = √80 = 8.9443

    Standard deviation is approximately 8.9
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