Question

in an experiment , two dice are tossed , all outcomes are equally likely . Let...

in an experiment , two dice are tossed , all outcomes are equally likely . Let X the RV such that X is the product of the two numbers of the dots shown .

a) Find the sample space of X.

b) Find pmf of X .

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. A random experiment consists of throwing a pair of dice, say a red die and...
1. A random experiment consists of throwing a pair of dice, say a red die and a green die, simultaneously. They are standard 6-sided dice with one to six dots on different faces. Describe the sample space. 2. For the same experiment, let E be the event that the sum of the numbers of spots on the two dice is an odd number. Write E as a subset of the sample space, i.e., list the outcomes in E. 3. List...
Let Y denote the number of “sixes” that occur when two dice are tossed. (Each of...
Let Y denote the number of “sixes” that occur when two dice are tossed. (Each of these dice has six sides with one, two, three, four, five, and six dots respectively. Note that the random variable is not the number of dots). (a) When two dice are tossed, how many outcomes are possible? Write out these outcomes. (Hint: your outcomes should correspond to the number of 6s since that is the random variable here.) (b) Derive the probability distribution of...
An experiment consists of rolling two fair dice and adding the dots on the two sides...
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any​ other, find the probability that the sum of the dots is 9.
An experiment consists of rolling two fair dice and adding the dots on the two sides...
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any​ other, find the probability that the sum of the dots is 4 or 9.
Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements...
Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements that must be true. a. Probabilities can be assigned to outcomes in any manner as long as the sum of probabilities of all outcomes in the sample space is 1. b. The probability of any one outcome occurring is 1?.1n. c. Any two events in the sample space have equal probablity of occurring. d. The probability of any event occurring is the number of...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the ordered pair (number of dots on the first die, number of dots on the second die), write down the sample space for the experiment. (So a roll of “1 dot” on the first die and a roll of “3 dots” on the second die would be the ordered pair (1, 3) in the sample space S.) You can think of the first die as...
Two regular 6-sided dice are tossed. (See the figure below for the sample space of this...
Two regular 6-sided dice are tossed. (See the figure below for the sample space of this experiment.) Determine the number of elements in the sample space for tossing two regular 6-sided dice. n(S) = Let E be the event that the sum of the pips on the upward faces of the two dice is 6. Determine the number of elements in event E. n(E) = Find the probability of event E. (Enter your probability as a fraction.)
1. Two dice are tossed in a row. Let X be the outcome of the first...
1. Two dice are tossed in a row. Let X be the outcome of the first die, and let Y be the outcome of the second die. Let A be the event that X + Y ≤ 7, and let B be the event that X − Y ≥ 2. (a) Find P(A). (b) Find P(B). (c) Find P(A ∩ B). (d) Are A and B independent?
Two dice are tossed and the absolute value of the difference of the numbers showing is...
Two dice are tossed and the absolute value of the difference of the numbers showing is recorded. Find the expected value of this experiment.
Two dice are rolled. Let X be the maximum number obtained. (Thus, if 1 and 2...
Two dice are rolled. Let X be the maximum number obtained. (Thus, if 1 and 2 are rolled, X = 2; if 5 and 5 are rolled, X = 5.) Assume that all 36 elements of the sample space are equally likely. Find the probability function for X. That is, find P(X = x), for x = 1, 2, 3, 4, 5, 6.