b) (i) If you were to roll the pair of dice once, one die at a time and record the values, describe the sample space looks like for this experiment. (ii) How many possible outcomes are there? c) (i) According to the distribution given in the table, what is the probability that you will roll a of 3? (ii) What is the probability that you will not roll a sum of 3?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

I need help on B and C. The picture is there to help.

b) (i) If you were to roll the pair of dice once, one die at a time and record the values, describe what
the sample space looks like for this experiment.
(ii) How many possible outcomes are there?
c) (i) According to the distribution given in the table, what is the probability that you will roll a sum
of 3?
(ii)What is the probability that you will not roll a sum of 3?
Transcribed Image Text:b) (i) If you were to roll the pair of dice once, one die at a time and record the values, describe what the sample space looks like for this experiment. (ii) How many possible outcomes are there? c) (i) According to the distribution given in the table, what is the probability that you will roll a sum of 3? (ii)What is the probability that you will not roll a sum of 3?
Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking
if you'd like to make a bet on the outcome of rolling a pair of dice, claiming he'll triple your money if
you call your roll. You excitedly take him up on his offer: "Sure! I'm feeling lucky tonight. I've spent
my fair share of time betting at the Craps tables in Caesars Palace ... I'll bet $100 that I roll the pair
of dice and have the values sum to 3."
Suppose the outcomes for a roll of any given die follow the probability distribution given in the ta-
ble:
Outcome |
Probability
1/6
1/6
1/6
1/6
1/6
1/6
1
2
3
4
a) (i) Is the given distribution a valid probability distribution? Explain.
(ii) If a die was weighted so that P(1) = 1/12 and P(6) = 1/4, keeping all other probabilities the
same, would it still be a valid probability distribution? Explain.
2.
Transcribed Image Text:Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking if you'd like to make a bet on the outcome of rolling a pair of dice, claiming he'll triple your money if you call your roll. You excitedly take him up on his offer: "Sure! I'm feeling lucky tonight. I've spent my fair share of time betting at the Craps tables in Caesars Palace ... I'll bet $100 that I roll the pair of dice and have the values sum to 3." Suppose the outcomes for a roll of any given die follow the probability distribution given in the ta- ble: Outcome | Probability 1/6 1/6 1/6 1/6 1/6 1/6 1 2 3 4 a) (i) Is the given distribution a valid probability distribution? Explain. (ii) If a die was weighted so that P(1) = 1/12 and P(6) = 1/4, keeping all other probabilities the same, would it still be a valid probability distribution? Explain. 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman