140 / 100 * X = 56
X = 56 * 100 / 140 = 5600 / 140 = 40
The distance is 9 units, so your answers would be choices b and e, since those both equal 9
Answer:
95% of women have pregnancies length between 236 and 300 days.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 268
Standard Deviation, σ = 16
We are given that the distribution of length of a human pregnancy is a bell shaped distribution that is a normal distribution.
Empirical Rule:
- It states that for a normal distribution all the data lies within three standard deviation of mean.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviations of mean,
- About 99.7% of data lies within three standard deviation from mean.
P(pregnancies are between 236 and 300 days)
By empirical rule, 95% of data lies within two standard deviations of mean, thus, 95% of women have pregnancies length between 236 and 300 days.