**Unformatted text preview: **Name: ECEn 370
Quiz 4
Friday, January 30, 2009.
1. (Lecture 8) True or False questions:
(T/F) A random variable is a real-valued function of the outcome of an experiment.
(T/F) A discrete random variable has a range that is either nite or countably innite.
(T/F) A function of a random variable denes another random variable.
(T/F) The probability mass function give the probability of each numerical value that the random variable can take. 2. (Lecture 9) Suppose that you attempt to graduate every year at the end of summer with a probability of success of 0.4. What
is the probability that you graduate at the end of the second or third summer? 3. (Lecture 10) A random variable X can take on the values {-2, -1, 0, 1, 2}. Its PMF is given by:
1 10 , 1 5, 1,
pX (x) = 51 5, 3 10
, 0, What is the PMF of Y , given that Y = 2|X|? if x = −2
if x = −1
if x = 0
if x = 1
if x = 2
otherwise ...

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- Winter '12
- Mazzeo
- Discrete probability distribution, Probability mass function