2. Say we are given a table representing the bivariate probability mass function f(X,Y) Find P(Y=2|X = 1) X = 1 X = 2 X = 3 Y = 1 Y = 2 Y = 3 0 1/8 3/8 0 0 1/4 1/4 0 0
2. Say we are given a table representing the bivariate probability mass function f(X,Y) Find P(Y=2|X = 1) X = 1 X = 2 X = 3 Y = 1 Y = 2 Y = 3 0 1/8 3/8 0 0 1/4 1/4 0 0
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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#2
Transcribed Image Text:1. Suppose we are interested in investigating the lifespan of a Texas Instrument calculator
and we model the lifespan using an exponential distribution with unknown parameter
(A). If we test 5 calculators, and their lifetimes are 2, 3, 1, 3, and 4 years, respectively,
(a) What is the maximum likelihood estimator for X?
(b) What does it mean in words?
2. Say we are given a table representing the bivariate probability mass function f(X,Y)
X = 1
X = 2
X = 3
Y = 1 Y = 2
0
1/8
0
0
1/4
0
Y = 3
3/8
1/4
0
Find P(Y=2|X = 1)
3. We are given the following bivariate density function :
f(x,y) = y ( ²2 − x).
-
where X and Y represent the lifespan of two electrical components in a transistor.
(a) Check that f(x, y) is actually a bivariate density
(b) Find the marginal pdfs, f(x) and f(y)
+x; where 0<x< 1 and 0 < y < 2
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