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17 September, 22:41

The lengths of human pregnancies are normally distributed with a mean of 268 day & a standard deviation of 15 days. What is the probability that a pregnancy last at least 300 days?

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Answers (2)
  1. 18 September, 00:04
    0
    There is a low probability most likely 0.9
  2. 18 September, 00:44
    0
    Step-by-step explanation:

    The lengths of human pregnancies are normally distributed with a mean of 268 day and a standard deviation of 15 days

    From the information given,

    mean, u = 268

    standard deviation, s = 15

    x is number of days

    For normal distribution,

    z = (x-u) / s

    Probability of x greater than or equal to 300 will be 1 - probability of x lesser than 300

    z = (300-268) / 15 = 32/15 = 2.13

    Looking at the normal distribution table, the value is 0.98341

    Probability of x greater than or equal to 300 will be 1 - 0.98341

    = 0.01659
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