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(D) If a variable has a Binomial distribution, then the number of possible outcomes depends on the problem. (E) In a standard normal distribution, the mean is equal to 0 and the variance is equal to 1.

(D) If a variable has a Binomial distribution, then the number of possible outcomes depends on the problem. (E) In a standard normal distribution, the mean is equal to 0 and the variance is equal to 1.

MATLAB: An Introduction with Applications
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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Answer for questions D, E

1. True or False. (A) If events A and B are independent, then they are also mutually exclusive (B) If P(A) = 0.3 and P(B) = 0.2, and events A and B are independent, then P(A and B) = 0.5 (C) If P(A) = 0.5 and P(B) = 0.3, and events A and B are independent, then P(A |B) = 0.5 (D) If a variable has a Binomial distribution, then the number of possible outcomes depends on the problem. (E) In a standard normal distribution, the mean is equal to 0 and the variance is equal to 1.
Transcribed Image Text:1. True or False. (A) If events A and B are independent, then they are also mutually exclusive (B) If P(A) = 0.3 and P(B) = 0.2, and events A and B are independent, then P(A and B) = 0.5 (C) If P(A) = 0.5 and P(B) = 0.3, and events A and B are independent, then P(A |B) = 0.5 (D) If a variable has a Binomial distribution, then the number of possible outcomes depends on the problem. (E) In a standard normal distribution, the mean is equal to 0 and the variance is equal to 1.
Expert Solution
Step 1

(D) we know that,  

For a binomial random variable there will be only two possible outcomes success and failure. 

(E) we know that, 

Let X be random variable from standard normal distribution with mean (μ) = 0 and standard deviation(σ) and variance (σ^2) = 1

i.e, 

X~N(0, 1) follows the standard normal distribution. 

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