The View Key pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 13 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - N Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted beyond 280 days. 0.0620 260 13 c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 267 and 274 days. 0.1544 Please show the following answer to the nearest day in the whole number. d. The 65th percentile pregnancy length in this village is days.
The View Key pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 13 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - N Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted beyond 280 days. 0.0620 260 13 c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 267 and 274 days. 0.1544 Please show the following answer to the nearest day in the whole number. d. The 65th percentile pregnancy length in this village is days.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 13 days. Let \( X \) be the length of a randomly recorded pregnancy in the village.
**a. What is the distribution of \( X \)?**
\( X \sim N(260, 13) \)
**Please show the following answers to 4 decimal places.**
**b.** If a pregnancy randomly chosen in the village, find the probability that it lasted beyond 280 days.
\( 0.0620 \)
**c.** If a pregnancy randomly chosen in the village, find the probability that it lasted between 267 and 274 days.
\( 0.1544 \)
**Please show the following answer to the nearest day in the whole number.**
**d.** The 65th percentile pregnancy length in this village is _______ days.
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