Answered: Let Z be a standard normal random…

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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[5P2A] Let Z be a standard normal variable. Find the following probabilities: 3. P (Z > 2.05) = 4. P (-0.34 < Z < 1.10) =
Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or technology. (a) P(Z20.8) (d) P(|Z| > 1.6) (b) P(Z< - 2.2) (e) P(0.3sZ<2.2) (c) P(- 0.9
Find the expected value for the random variable: 4 5 P(X) 0.21 0.28 0.14 0.37 E(X) =
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u = 89 and standard deviation o = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) n USE SALT (a) x is more than 60 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125) Need Help? Watch It Read It
Let Z be a standard normal random variable. Find the following probabilities. P(Z<1.48). P(Z<−0.25) P(Z>165) P(0.6<Z<1.67)
A random sample of n = 100 observations is selected from a population with u = 31 and o = 21. Approximate the probabilities shown below. a. P(x2 28) c. P(xs 28.2) b. P(22.1sxs26.8) d. P(x2 27.0) Click the icon to view the table of normal curve areas.
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(z s 0.52) = 0 P(z > -1.60) = 0 P(0.78 < z < 2.17) = O
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z 2) (g) P(z z -3.38) %3D (h) P(z < 4.98) %3D
J 2
Is the following distribution a probability distribution? (x, P(X)) = (-2,1.23); (-1, 0.15) ; (0, -1.20); (1, 0.52); (2, 0.30) There are five ordered pairs: X values and their probabilities for example P(1) = 0.52. X -2 -1 0 1 2 P(X) 1.23 0.15 –1.20 0.52 0.30
Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z s 0.68) = [D (b) P(z > -1.90) = (c) P(1.10 < Z < 2.20) =
Let Z be a standard normal random variable. Calculate the following probabilities and round your response to at least 3 decimal places. P(Z is less than or equal to -2.12)= P(Z>-0.71)= P(0.92<Z<2.09)=

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Let Z be a standard normal random variable. Calculate the following probabilities. Round your responses to at least three decimal places. (a) =P>(Z>1.75) (b) =P(Z≤0.72) (c) =P(-0.51