The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and astandard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village.a. What is the distribution of X? X - NPlease show the following answers to 4 decimal places.b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days.0.9944✔ Orc. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252days. 0.1530✓Please show the following answer to the nearest day in the whole number.d. The 89th percentile pregnancy length in this village isdays. Find the two x values C and D that form the middle shaded region with area of 0.76. The normaldistribution has mean u 133 and standard deviation o= 19, and the shaded region is symmetric aboutthe mean. Round your answers to one decimal place.+57P(Area = 0.7676 95 114 133 152сD< x <= 0.76171 190209

given data, normal distribution μ=267 daysσ=15 dayslet X be the length of a randomly recorded…

Answered: The lengths of pregnancies in a small…

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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When a sample contains 100 or more cases, what is the correct probability distribution to use?
Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 545 and a standard deviation of 112 . If 16 men are randomly selected, find the probability that their mean score is at least 590. a. Define the parameter A. x overbar equals The mean score of 16 randomly selected men B. x overbar equals The score of a randomly selected man b. State the mean of x overbar : nothing c. State the standard deviation of x overbar : nothing (use 2 decimal places) d. Find the z-score: nothing (use 2 decimal places) e. Find the probability: nothing (use 4 decimal places)
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