Pregnancy length The length of human pregnancies from conception to birth follows a

Chapter 6, Problem 26

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QUESTION:

Pregnancy length The length of human pregnancies from conception to birth follows a Normal distribution with mean 266 days and standard deviation 16 days. Choose a pregnant woman at random. Let X = the length of her pregnancy.

(a) Find \(P(X \geq 240)\) and interpret the result.

(b) What is \(P(X>240)\)? Explain.

(c) Find the value of c such that \(P(X \geq c)=0.20\). Show your work.

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QUESTION:

Pregnancy length The length of human pregnancies from conception to birth follows a Normal distribution with mean 266 days and standard deviation 16 days. Choose a pregnant woman at random. Let X = the length of her pregnancy.

(a) Find \(P(X \geq 240)\) and interpret the result.

(b) What is \(P(X>240)\)? Explain.

(c) Find the value of c such that \(P(X \geq c)=0.20\). Show your work.

ANSWER:

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The length of the pregnancy of a pregnant woman X follows Normal distribution with mean 266 days and standard deviation 16 days.

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