Answered: . TRUE OR FALSE a. If the probability…

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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Question

1. TRUE OR FALSE a. If the probability distribution of the random variable is bell-shaped, then the random variable follows a normal distribution. b. If the degrees of freedom of the t distribution equals 30, then the t distribution is equal to the standard normal distribution. c. If Z is a discrete random variable, then P(9 < Z < 11) = P(Z = 9) + P(Z = 10) + P(Z = 11). d. The sure event is independent of any non-empty event. e. If events U and V are mutually exclusive, then they are also independent. f. A random variable that assumes an infinite number of values must be continuous. g. The Central Limit Theorem assures that the sampling distribution of the sample mean follows a normal distribution. h. The standard error refers to the standard deviation of the random sample. i. If X and Y are independent random variables with variances 1 and 2 respectively, then the variance of 2X-Y+2 is 6. j. Suppose a fair coin is tossed twice. Let A be the event that there is more than one head and B be the event that there is exactly one tail. Then the events A and B are mutually exclusive.

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