To determine The probability distribution of the given event Explanation Given: Two dice with 4 faces numbered 1, 2, 3 and 4 Formula used: Probability = favourable oucomes Total outcomes Calculations: The dice has four faces. So rolling two dice together shall result into 4 × 4 =16 outcomes. The minimum shall be 2 when both the dice show 1. The maximum shall be 8 when both the dice show 4. So the different sums we get on the dice are 2,3,4,5,6,7,8 Hence total number of outcomes = 2 4 = 16 The probable outcomes are { ( 1 , 1 ) ( 2 , 1 ) ( 3 , 1 ) ( 4 , 1 ) ( 1 , 2 ) ( 2 , 2 ) ( 3 , 2 ) ( 4 , 2 ) ( 1 , 3 ) ( 2 , 3 ) ( 3 , 3 ) ( 4 , 3 ) ( 1 , 4 ) ( 2 , 4 ) ( 3 , 4 ) ( 4 , 4 ) } Here X = x = Sum of the numbers on the two dice Possibility 1: x = 2 so outcomes = {(1,1)} Possibility 2: x = 3 so outcomes = {(1,2),(2,1)} Possibility 3: x = 4 so outcomes = {(1,3),(2,2),(3,1)} Possibility 4 x = 5 so outcomes = {(1,4),(2,3),(3,2),(4,1)} Possibility 5: x = 6 so outcomes = {(2,4),(3,3),(4,2)} Possibility 6: x = 7 so outcomes ={(3,4),(4,3)} Possibility 7: x = 8 so outcomes ={(4,4)}

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

7th Edition

ISBN: 9780134705187

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 7.A, Problem 41E

To determine

The probability distribution of the given event

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 7.A, Problem 40E

Chapter 7.A, Problem 42E

Students have asked these similar questions

In a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. Is this average hourly wage considered representative?

The following is a list of questions answered correctly on an exam. Calculate the Measures of Central Tendency from the ungrouped data list. NUMBER OF QUESTIONS ANSWERED CORRECTLY ON AN APTITUDE EXAM 112 72 69 97 107 73 92 76 86 73 126 128 118 127 124 82 104 132 134 83 92 108 96 100 92 115 76 91 102 81 95 141 81 80 106 84 119 113 98 75 68 98 115 106 95 100 85 94 106 119

The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency using the table in point B. B. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8

Chapter 7 Solutions

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

Ch. 7.A - Suppose you toss one coin three times in a row and...Ch. 7.A - During the course of the basketball season, Shawna...Ch. 7.A - A box contains 20 chocolates, but only 2 of them...Ch. 7.A - Suppose the probability of winning a certain prize...Ch. 7.A - When you toss one coin, the probability that...Ch. 7.A - On a roll of two dice, Serena bets that the sum...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - You are playing 5-card poker with a deck of 52...Ch. 7.A - The odds on (or odds against) TripleTreat winning...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.