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please help idk how to do it?
) Lengths of pregnancies are normally distributed with a mean of 268 days (which is about 9 months) and a standard deviation of 15 days.
(a) Sketch the normal curve, and label everything appropriately using the Empirical Rule, z-scores, and data values with the appropriate pregnancy lengths.
(b) What percent of women have a pregnancy that lasts less than 253 days?
(c) What percent of women have a pregnancy that lasts less than 238 days?
(d) What percent of women have a pregnancy that lasts more 313 days?
1 Answer
- Julius NLv 73 years ago
(b)
z =( x1 - μ ) / σ = -1
P(x < 253) = P(z < -1) = 0.15865532
(c)
z =( x1 - μ ) / σ = -2
P(x < 238) = P(z < -2) = 0.02275026
(d)
z =( x2 - μ ) / σ = 3
P(313 < x) = P(3 < z) = 0.00134981
