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Gennadij [26K]
3 years ago
10

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

266 days and a standard deviation of 16 days. What percentage of pregnancies last between 250 and 282 days?
Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

68% of pregnancies last between 250 and 282 days

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 266

Standard deviation = 16

What percentage of pregnancies last between 250 and 282 days?

250 = 266 - 16

250 is one standard deviation below the mean

282 = 266 + 16

282 is one standard deviation above the mean

By the Empirical Rule, 68% of pregnancies last between 250 and 282 days

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