If a random variable has the standard normal distribution, find the probability that it will take on avaluea) less than 1.75b) greater than 2.06c) between 0 and 2.3d) between -1.70 and 1.35.

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Answered: If a random variable has the standard…

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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Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 51 and estimated standard deviation ? = 16. A result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. b. What is the probability that x < 40?c. Repeat part (b) for n = 3 tests taken a week apart. d. Repeat part (b) for n = 5 tests taken a week apart.
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 2.857°C and 3.191°C. P(2.857 < Z < 3.191) =
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If a random variable has the standard normal distribution, find the probability that it will take on a value a) less than 1.75 b) greater than 2.06 c) between 0 and 2.3 d) between -1.70 and 1.35.