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Probability Homework Solutions: Mixed Variables and Inequalities, Exercises of Probability and Statistics

Homi Bhabha National Institute Probability and Statistics

Solutions to probability homework problems involving mixed variable types and mathematical inequalities. Topics include discontinuities, docsity.com references, and various mathematical operations.

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

anandini 🇮🇳

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Probability Homework Solution #5

3.13

()

[] 0

[] 1 ( 1) 3

124421116

[] 1 1

333332727

[] ( 0) (0)1

PA P X

PB P X PX

PC P X P X F F

PD PX F

⎛⎞

=>=

⎜⎟

⎝⎠

=≥==−=

⎛⎞

⎛⎞⎛⎞⎛⎞

=−<=−<<= −−=−=

⎜⎟⎜⎟⎜⎟⎜⎟

⎝⎠⎝⎠⎝⎠

⎝⎠

=<= =

3.14

(a) X is a random variable of mixed type since it is continuous except for

discontinuity at 0 and at 1.

(b)

docsity.com

Probability Homework Solutions: Mixed Variables and Inequalities, Exercises of Probability and Statistics

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Probability Homework Solution

[ ] 0

[ ] 1 ( 1)

[ ] 1 1

[ ] ( 0) (0) 1

P A P X

P B P X P X

P C P X P X F F

P D P X F

⎝ ⎠ ⎝^ ⎠^ ⎝^ ⎠^ ⎝^ ⎠

q

q