1. For a biased coin flip, let H be assigned x = 1 and T be assigned x= 0. 0 if <0 if 0<<1 If the cumulative distribution function (cdf) is F(x) = 1 if 12 what is the probability mass function (pmf) p(x)? x p(x) PMF of X 2. Use the graph of the CDF of X = a weighted die, to find the pmf: F(x) cdf 2/6 Уб 0 1 2 3 4 Write the probabilities in fractions please. (Hint: the jumps in the cdf are important!) x PMF of X p(x) 1 2 3 4 5 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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1. For a biased coin flip, let H be assigned x = 1 and T be assigned x= 0.
0 if <0
if 0<<1
If the cumulative distribution function (cdf) is F(x) =
1 if 12
what is the probability mass function (pmf) p(x)?
x
p(x)
PMF of X
2. Use the graph of the CDF of X = a weighted die, to find the pmf:
F(x)
cdf
2/6
Уб
0 1 2 3 4
Write the probabilities in fractions please. (Hint: the jumps in the cdf are important!)
x
PMF of X
p(x)
1
2
3
4
5
6
Transcribed Image Text:1. For a biased coin flip, let H be assigned x = 1 and T be assigned x= 0. 0 if <0 if 0<<1 If the cumulative distribution function (cdf) is F(x) = 1 if 12 what is the probability mass function (pmf) p(x)? x p(x) PMF of X 2. Use the graph of the CDF of X = a weighted die, to find the pmf: F(x) cdf 2/6 Уб 0 1 2 3 4 Write the probabilities in fractions please. (Hint: the jumps in the cdf are important!) x PMF of X p(x) 1 2 3 4 5 6
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