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The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 268 days.

Respuesta :

The probability of them having a pregnancy with a mean gestation between 266 and 268 days is 0.3577.

Given data;

Pregnancy lengths have a mean of 268 days and a standard variation of 15 days, which is regularly distributed. Find the likelihood that 64 women chosen at random will experience pregnancies with a mean duration between 266 and 268 days.

Mean μ = 268

Standard deviation σ = 15

n = 64

Now,

μx = μ = 268

σ = σ/√n

  = 15/√64

  = 1.875

P(266 < x < 268) = P(266-263/1.875 < (x - μx)/σx(268 268)/1.875)]

                            = P(-1.07 < Z < 0)

                            = 0.3577

Hence, the probability that they have a mean pregnancy between 266 days and 268 days is 0.3577

To learn more about probability click here:

brainly.com/question/11234923

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