Q1 – What is the probability of any of the following events? Please calculations. P (X, Y)     X Y P True True 0.2 True False 0.3 False True 0.4 False False 0.1   P (X=true | Y=true)? P (X=false | Y=true)? P (Y=false | X=true)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1 – What is the probability of any of the following events? Please calculations.

P (X, Y)

 

 

X

Y

P

True

True

0.2

True

False

0.3

False

True

0.4

False

False

0.1

 

  • P (X=true | Y=true)?
  • P (X=false | Y=true)?
  • P (Y=false | X=true)?

 

Answer -   

 

Q2 - Using the probability distribution table below, work out the following probabilities. Please provide calculations.

 

P (W | S=summer)?  

P (W=sun | S=winter, T=cold)?  

S
P
summer
hot
sun
0.30
summer
hot
rain
0.05
summer
cold
sun
0.10
summer
cold
rain
0.05
winter
hot
sun
0.10
winter
hot
rain
0.05
winter
cold
sun
0.15
winter
cold
rain
0.20
Transcribed Image Text:S P summer hot sun 0.30 summer hot rain 0.05 summer cold sun 0.10 summer cold rain 0.05 winter hot sun 0.10 winter hot rain 0.05 winter cold sun 0.15 winter cold rain 0.20
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