The normal distribution has a bell-shaped density curve (meaning that the area u

Question

The normal distribution has a bell-shaped density curve (meaning that the area under the whole curve is one). It is symmetric about ts mean (meaning that the area above or below the mean is 0.5). It has two parameters, the mean (which we denote by ) and the standard deviation (which we denote by ). We write a normal distribution with mean and standard deviation as X ~ N , ) If pregnancies have length in days that are approximately distributed as XN(266, 16)then: 1. What is the mean?| 2. What is the standard deviation?|

Explanation / Answer

Solution(1)

As given in the question Notation for variable x ~ N(Mean, Standard deviation)

And preganacies have length in days approximately distributed as X~N(266,16), this is normally distributed.

So from these notations we can say that

Mean of the pregnancies length in days = 266 days

Standard deviation of the pregnancies length in days = 16 days.

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