The values of three independent observations of Xare denoted by X,. X, and X,. (b) Given that X, +I +I¸ =9, determine the probability that at least one of these three values is equal to 2. Freda chooses values of X at random until she has obtained X = 2 exactly three times. She then stops. (c) Determine the probability that she chooses exactiy 10 values of X.

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

Please can you help me with parts b and c?

Thank you so much.

In this question you must show detailed reasoning.
The random variable Ihas probability distribution defined as follows.
15
+ x=2,3,4,5,
P(X=x) = 64
otherwise.
(a) Show that P(X=2) =
The values of three independent observations of X are denoted by X,. X, and X,.
(b) Given that X, +X_ +X¸ = 9. determine the probability that at least one of these three values is
equal to 2.
Freda chooses values of Xat random until she has obtained X = 2 exactly three times. She then
stops.
(c) Detemine the probability that she chooses exactly 10 values of X.
Transcribed Image Text:In this question you must show detailed reasoning. The random variable Ihas probability distribution defined as follows. 15 + x=2,3,4,5, P(X=x) = 64 otherwise. (a) Show that P(X=2) = The values of three independent observations of X are denoted by X,. X, and X,. (b) Given that X, +X_ +X¸ = 9. determine the probability that at least one of these three values is equal to 2. Freda chooses values of Xat random until she has obtained X = 2 exactly three times. She then stops. (c) Detemine the probability that she chooses exactly 10 values of X.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
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