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What is the probability that a woman chosen at random

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Directions: For the following questions, please show your steps and work rather than just giving an answer. That enables me to give partial credit where appropriate.

The length of a pregnancy from conception to birth varies normally with mean 266 days and standard deviation 6 days.

1. What is the probability that a woman chosen at random has a pregnancy lasting more than 270 days?

2. What is the probability that a SRS of 16 women have pregnancies averaging more than 270 days?

3. Why did the probability decrease from number 1 to number 2?

4. What is the probability that a SRS of 50 women have pregnancies averaging more than 270 days?

5. Why did the probability decrease from number 2 to number 4?

6. What is the probability that a woman chosen at random has a pregnancy lasting less than 255 days?

7. What is the probability that a SRS of 20 woman chosen at random have a pregnancies averaging less than 255 days?

8. What is the probability that a woman chosen at random has a pregnancy lasting between 260 and 270 days?

9. What is the probability that a SRS of 20 woman chosen at random have a pregnancies averaging between 260 and 270 days?

10. Why did the probability increase from number 8 to number 9?

Reference no: EM132581158

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