Question #7 Part 1 **Normal Distribution of Human Pregnancies**Suppose the lengths of human pregnancies are normally distributed with a mean (μ) of 266 days and a standard deviation (σ) of 16 days.**(a)** The figure to the right represents the normal curve with μ = 266 days and σ = 16 days. The area to the right of X = 285 is 0.1175. Provide two interpretations of this area.### Interpretations:**Choose one interpretation from the options below and fill in the corresponding blanks.**- **Option A:** The proportion of human pregnancies that last more than [Blank 1] days is [Blank 2].- **Option B:** The proportion of human pregnancies that last less than [Blank 3] days is [Blank 4].**Choose a second interpretation from the options below and fill in the corresponding blanks.**- **Option A:** The probability that a randomly selected human pregnancy lasts less than [Blank 5] days is [Blank 6].- **Option B:** The probability that a randomly selected human pregnancy lasts more than [Blank 7] days is [Blank 8].### Details of the Diagram:- The diagram is a bell-shaped normal distribution curve.- The mean (266 days) is marked at the center of the curve.- The area representing pregnancies longer than 285 days is shaded on the right tail of the curve.- "X" denotes the data values on the horizontal axis.

Given : Suppose the lengths of human pregnancies are normally distributed with u =266 days and σ = 16 days.Solution : (a) The figure to the right represents the normal curve with µ = 266 days and σ = 16 days. The area to the right of X=285 is 0.1175. The proportion of human pregnancies that last more than 285 day is 0.1175 Answer - option Ab) The probability that a randomly selected human pregnancy lasts more than 285 day is 0.1175 Answer - option B