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)?
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
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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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
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