The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 264 days and a standard deviation of 10 days. a) what is the minimum pregnancy length that can be in the top 9% of pregnancy lengths? b) what is the maximum pregnancy length that can be in the bottom 7% of pregnancy lengths?

Approximately 278 is the minimum pregnancy length that can be in the top 9% of pregnancy lengths.

approximately 279 is the minimum pregnancy length that can be in the top 7% of pregnancy lengths.

Step-by-step explanation:

We are given the following information:

Mean, μ = 264 days

Standard Deviation, σ = 10 days

We are given that the distribution of  pregnancy length in days is a bell shaped distribution that is a normal distribution.

Formula:

a) P(X>x) = 9% = 0.09

We have to find the value of x such that the probability is 0.09.

P(X > x)  

Calculation the value from standard normal z table, we have,  

Hence, approximately 278 is the minimum pregnancy length that can be in the top 9% of pregnancy lengths.

b)  P(X>x) = 7% = 0.07

We have to find the value of x such that the probability is 0.07.

P(X > x)  

Calculation the value from standard normal z table, we have,  

Hence, approximately 279 is the minimum pregnancy length that can be in the top 7% of pregnancy lengths.

okay so 15.15 *()5: +5/6

step-by-step explanation:

step-by-step explanation: 4 cause 2+2=4