T F - Let X be a positive memoryless random variable, then for y> 0, P(X>x+yX > x) = P(X> x + y). T F - If X~ N(0, 1) and Y~ N(0, 1), then X+Y~ N(0, 2). TF - If we use Weibull distribution to model the life time of a car battery and the shape parameter a is greater than 1, then the hazard rate will be an increasing function of t.
T F - Let X be a positive memoryless random variable, then for y> 0, P(X>x+yX > x) = P(X> x + y). T F - If X~ N(0, 1) and Y~ N(0, 1), then X+Y~ N(0, 2). TF - If we use Weibull distribution to model the life time of a car battery and the shape parameter a is greater than 1, then the hazard rate will be an increasing function of t.
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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true or false. No explanations needed
![T F - Let X be a positive memoryless random variable, then for y> 0, P(X> x+yX >
x) = P(X> x + y).
T F - If X~ N(0, 1) and Y~ N(0, 1), then X+Y~ N(0,2).
T F - If we use Weibull distribution to model the life time of a car battery and the
shape parameter a is greater than 1, then the hazard rate will be an increasing function
of t.
T F - The length of a confidence interval will increase if we increase the confidence level
while keep everything else the same.
TF - If we construct a two-sided t-interval [58, 60] with confidence level 90% for
tomorrow's the avearge temperature t₁, it means that the probability that t₁ lies within
the interval [58, 60] is 0.9.
T F The critical point za increases as the value of a decreases.
-
T F - Assume that X~ N(u, 4), then P(|u - X| ≤ 3) = 20 (1.5) - 1.
T F - If we take a random sample X₁, X2, ..., Xn of size n from a population and assume
that X₁, X2, ..., Xn are independent, then the sample mean X will be approximately
normally distributed when n is very large.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F082ff3ba-29df-4ae5-8347-b1f20fc36815%2Faceb6293-5544-4620-850d-4688f4a7330f%2Fw9gzk4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:T F - Let X be a positive memoryless random variable, then for y> 0, P(X> x+yX >
x) = P(X> x + y).
T F - If X~ N(0, 1) and Y~ N(0, 1), then X+Y~ N(0,2).
T F - If we use Weibull distribution to model the life time of a car battery and the
shape parameter a is greater than 1, then the hazard rate will be an increasing function
of t.
T F - The length of a confidence interval will increase if we increase the confidence level
while keep everything else the same.
TF - If we construct a two-sided t-interval [58, 60] with confidence level 90% for
tomorrow's the avearge temperature t₁, it means that the probability that t₁ lies within
the interval [58, 60] is 0.9.
T F The critical point za increases as the value of a decreases.
-
T F - Assume that X~ N(u, 4), then P(|u - X| ≤ 3) = 20 (1.5) - 1.
T F - If we take a random sample X₁, X2, ..., Xn of size n from a population and assume
that X₁, X2, ..., Xn are independent, then the sample mean X will be approximately
normally distributed when n is very large.
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