We have a red and a blue fair 4 sided die. Our random experiment is tosses ofboth dies simultaneously. Let assume Random variable denotes number of red die plusnumber of blue die and random variable denotes their maximum.A. Show probability distribution of random variables and separately in tabularform.B. Show joint probability distribution of random variables and in a tabular form.Display as row and as column.C. Are these two random variables independent? Why?

Given: Red and Blue fair 4 sided die

Answered: We have a red and a blue fair 4 sided…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Please answer the number 4 Thank you!
(b) Consider, the number of WhatsApp messages in your cell phone, as a random variable. Collect a data of hour's messages in day and find an average number of messages per hour. Find the probability of i. 30 messages come per hour ii. At least 20 massages per hour i. No message per hour Interpret your results of both parts.
Explain what it means for two random variables to be independent, both mathematically and in layman’s terms. If we assume two random variables are independent, what does it allow us to simplify?
A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?
The sample space of an experiment is {A, B, C}. Find the probability of each outcome if P(A) = P(B) and P(C) = 2P(A)
Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
Consider a coin tossing game where you win 10 dollars if a head appears on a single toss of a fair coin but you lose 10 dollars if a tail appears. Let the random variable R represent the return on a single toss. What is the variance of R?
Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let the random variable X denotes the number of requests receiving per hour. Find the probability of exactly three requests in one hour.
Information is provided for 3 different ways of getting from home to work in the morning. From A way: μA =34 minutes, 4-5.4 minutes; From B way: μ=31 minutes, 4-2 minutes; From C way: μ =32 minutes, 4-4 minutes. Which route should someone with 29 minutes of time take? Hint1. Define the commute time as a random variable X. Hint2. Use normal probability table. O a. B O b. A O c. Bor C O d. C O e. A or B
Unit 3 DQ: Let's Roll the Dice First, you must roll a die 20 times and record the results. (a) When you roll a die once- what are the potential outcomes? (b) Let x represents the random variable for all the outcomes. Using the results, you recorded from rolling the die create and share the probability distribution for x.
An average of 1 package is sent to a server in 1 second. The server, on the other hand, uses the 5 packages that come to it.is preparing a document. The time between packets is modeled as an exponential random variable. X of the serverLet it be a random variable expressing the time it takes to prepare a document. Passing for the preparation of a documentyour timea. Find the probability that it is more than 10 seconds.b. Find the probability that it is between 5 seconds and 10 seconds.
d and e only

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