a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?

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Suppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy

(a) What are the possible (X, Y) pairs?

(b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table

Table: Discrete Joint Probability Distribution for X and Y

         
P(x,y)   0 100 200
X 100 0.2 0.10 0.2
  250 0.05 0.15 0.3

What is p (100, 100) 

What is P (Y greater than 100)?

4
b) Suppose the joint probability mass function is given by
insurance company in the accompanying joint probability in th
following Table
Table: Discrete Joint Probability Distribution for X and Y
P(x,y)
X
100
250
0
0.20
0.05
Y
100
0.10
0.15
200
0.20
0.30
Transcribed Image Text:4 b) Suppose the joint probability mass function is given by insurance company in the accompanying joint probability in th following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) X 100 250 0 0.20 0.05 Y 100 0.10 0.15 200 0.20 0.30
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