CreepyGirl102 CreepyGirl102

09-12-2022
Mathematics

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Suppose that X1 and X2 are independent random variables that have the following distribution:
x12345 p(x) .2 .3 .2 .2 .1 (Chart Pictured)
Let Y be the average of X1 and X2.
a. Find the sampling distribution of Y
b. What is the probability that Y is 2.0 or smaller?
c. What is the probability that Y is 4.5 or larger?
d. Do you expect to observe a value of Y equal to 4.5 or larger? Why?

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