The length of human pregnancies from conception to birth approxi- mates a normal distribution with a mean of 266 days and a standard deviation of 16 days. Find the interval centered at mean which covers approximately 68% of the probability. (a) (266- 1x 16, (b) (266-2 x 16, (c) (266-3 x 16, (d) (266- 4 x 16, 266 + 1 x 16) 266 +2 x 16) 266 +3 x 16) 266 +4 x 16)

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The length of human pregnancies from conception to birth approxi-
mates a normal distribution with a mean of 266 days and a standard
deviation of 16 days. Find the interval centered at mean which covers
approximately 68% of the probability.
(a) (266- 1x 16, 266 + 1 x 16)
(b) (266-2 x 16,
266 + 2 × 16)
(c) (266-3x 16,
266 +3 x 16)
(d) (266- 4 x 16, 266 + 4 × 16)
Transcribed Image Text:The length of human pregnancies from conception to birth approxi- mates a normal distribution with a mean of 266 days and a standard deviation of 16 days. Find the interval centered at mean which covers approximately 68% of the probability. (a) (266- 1x 16, 266 + 1 x 16) (b) (266-2 x 16, 266 + 2 × 16) (c) (266-3x 16, 266 +3 x 16) (d) (266- 4 x 16, 266 + 4 × 16)
Expert Solution
Step 1

given data 

normal distribution

μ = 266 daysσ = 16 dayswhich interval will contain 68% data?empirical rule: approximately 68 - 95 - 99.7% data fall within 1σ-2σ-3σ of μ.

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