. The gestation period for human births can be taken as normally distributed with a mean of 266 days and a standard deviation of 16 days. What is the probability that a randomly chosen baby had a gestation period of more than 280 days? If a gestation period is 276 days, what percentile among human births is this?
Added by Carol G.
Step 1
Given: Mean (μ) = 266 days Standard Deviation (σ) = 16 days Gestation period > 280 days Calculate Z-score: Z = (280 - 266) / 16 Z = 0.875 Find the probability using the Z-table: P(Z > 0.875) = 1 - P(Z ≤ 0.875) P(Z > 0.875) = 1 - 0.8106 P(Z > 0.875) = 0.1894 Show more…
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