Consider the following random experiment: you roll two dice whose faces have the labels 0, 0, 1, 1, 2, 2: that is, when you roll one die, you get a result of 0, 1, or 2 with equal probability. (a) Write down the “big” sample space for this random experiment: the one which gives us the results of both rolls as the outcome. (There are two plausible ways to do this; pick the one where we sample uniformly from this sample space.) (b) Let X be the random variable which gives the larger of the two numbers rolled. For example, if the two rolls are and , then X = 1. Describe X as a function from the sample space to its range RX = {0, 1, 2}. (One description I’d be happy with is an arrow diagram, though you may choose anything else as long as you convey the same information.) (c) Write down the probability mass function PX(k).
Consider the following random experiment: you roll two dice whose faces have the labels
0, 0, 1, 1, 2, 2: that is, when you roll one die, you get a result of 0, 1, or 2 with equal
(a) Write down the “big”
the results of both rolls as the outcome. (There are two plausible ways to do this; pick
the one where we sample uniformly from this sample space.)
(b) Let X be the random variable which gives the larger of the two numbers rolled. For
example, if the two rolls are and , then X = 1.
Describe X as a
description I’d be happy with is an arrow diagram, though you may choose anything
else as long as you convey the same information.)
(c) Write down the probability mass function PX(k).
Step by step
Solved in 4 steps with 1 images
