An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" () which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is htt, then N (htt) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-4N-4. The values of X are given in the table below. Outcome Value of X Value X of X P(X=x) ttt hht hth tth tht 6-6 -4 -4 htt thh hhh -4 2 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. 0 -4-6 X S

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
Question
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" () which we write hth, ttt, etc.
For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is htt, then N (htt) = 2. Suppose
that the random variable X is defined in terms of N as follows: X=2N²-4N-4. The values of X are given in the table below.
Outcome hht hth tth tht ttt
Value of X
-6 -6
-4
-4
2
Value .x of X
Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities
in the second row.
P(X=x)
0
htt thh hhh
-4
0
-4-6
00
X
Transcribed Image Text:An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" () which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is htt, then N (htt) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-4N-4. The values of X are given in the table below. Outcome hht hth tth tht ttt Value of X -6 -6 -4 -4 2 Value .x of X Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. P(X=x) 0 htt thh hhh -4 0 -4-6 00 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
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