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.

given data, normal distribution μ=260σ=13let X be the length of a randomly recorded pregnancy in the…

Answered: The View Key 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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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 48 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 186 feet? (Round your answer to four decimal places.) ch6#4
K Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 89 and 121. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 89 and 121 is (Type an integer or decimal rounded to four decimal places as needed.)
e average American man consumes 9.6 grams of sodium each day. ppose that the sodium consumption of American men is normally stributed with a standard deviation of 0.8 grams. Suppose an American nan is randomly chosen. Let X = the amount of sodium consumed. Round Al numeric answers to 4 decimal places where possible. %3D a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.5 and 10.6 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:
SubPArt. Pls answer the rest
Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 89 and 121. Click to view page 1 of the table. Click to view page 2 of the table. Standard Normal Table (Page 2) The probability that a randomly selected adult has an IQ between 89 and 121 is (Type an integer or decimal rounded to four decimal places as needed.) POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 5279 .5319 .5359 0.1 .5398 .5438 5478 .5517 .5557 .5596 ,5636 ,5675 .5714 .5753 0.2 .5793 .5832 5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 6950 .6985 7019 .7054 .7088 7123 7157 .7190 .7224 0.6 .7257 .7291 7324 7357 7389 7422 7454 7486…
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K A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.26 lb, the mean of all of the weights is x=2.312 lb, and the standard deviation of the weights is s = 1.118 lb. a. What is the difference between the weight of 5.26 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.26 lb to a z score. d. If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.26 lb significant? a. The difference islb. (Type an integer or a decimal. Do not round.) View an example Get more help. ... Clear all Check answer Incor

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