Question 2 P(Cold^Cloudy Cloudy ~Cloudy ^Rain) Rain ~Rain Rain ~Rain Cold ~Cold .32 .06 .26 .03 .12 .04 .10 .07 a) Compute the marginal probability of ~Cold. b) Compute the probability of not cloudy given the it is not raining and the weather being not cold c) Compute the probability of not raining given it is not cloudy. d) Compute P(~Rain or cloudy)

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter16: Probabilistic Inventory Models
Section16.3: The News Vendor Problem: Discrete Demand
Problem 9P
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Question 2
P(Cold^Cloudy
Cloudy
~Cloudy
^Rain)
Rain
~Rain
Rain
~Rain
Cold
~Cold
.32
.06
.26
.03
.12
.04
.10
.07
a) Compute the marginal probability of ~Cold.
b) Compute the probability of not cloudy given the it is not raining and the weather being not cold
c) Compute the probability of not raining given it is not cloudy.
d) Compute P(~Rain or cloudy)
Transcribed Image Text:Question 2 P(Cold^Cloudy Cloudy ~Cloudy ^Rain) Rain ~Rain Rain ~Rain Cold ~Cold .32 .06 .26 .03 .12 .04 .10 .07 a) Compute the marginal probability of ~Cold. b) Compute the probability of not cloudy given the it is not raining and the weather being not cold c) Compute the probability of not raining given it is not cloudy. d) Compute P(~Rain or cloudy)
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