The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
A) 0.0066.
B) 0.0606.
C) 0.1151.
D) 0.1591.

The probability of a pregnancy lasting less than 250 days is 0.1151 and this can be determined by using the z-score formula.

Given :

The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days.

First, determine the z-score in order to determine the probability of a pregnancy lasting less than 250 days.

The formula of the z-score is given below:

Now, substitute the values of the known terms in the above formula.

z = -1.2

Now, the probability of a pregnancy lasting less than 250 days is:

P(X < 250) = P(z < -1.2)

P(X < 250) = 0.1151

Therefore, the correct option is C).

For more information, refer to the link given below:

link

C) 0.1151.

Step-by-step explanation:

Hi, to answer this question we have to apply the formula  

P =2w +2 L

Where:

P=perimeter

W= width

Hi, to answer this question we have to calculate the z score:

z= ( X-μ /σ)

Where:

X: variable

μ : mean

σ:standard deviation  

Replacing with the values given and solving:

P ( X <250) = P ( X-μ /σ < [250-268]/ 15)

P= z <-1.2

the probability(P) associated with a z-score of -1.2 is C) 0.1151. (looking in the table of z-scores)

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2