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Answer:
The probability that the total loss, X + Y is less than 2 is P=0.235
Step-by-step explanation:
We know the joint density function:
To find the probability that (X+Y)<2, we can divide this in two steps.
- When X=0, Y should be less than 2. This is P(X=0,Y<2).
- When X=1, Y should be less than 1. This is P(X=1, Y<1).
We can calculate P(X=0,Y<2) as:
We can calculate P(X=1,Y<1) as:
Then