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Statistical Inference: A Short Course by Michael J. Panik

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Exercises

1. Which of the following random variables is continuous? Explain why?
a. X is the speed of a race car as it passes the finish line.
b. X is the time it takes to fly from London to New York City.
c. X is the capacity of a car's trunk in cubic feet.
d. X is the weight of your roommate.
e. X is the distance traveled by a race horse in 10 seconds.
f. X is the time it takes a race horse to travel 100 ft.
2. Suppose the random variable X has the probability density function

img

find:
a. img
b. img
c. img
3. Given the probability density function for X,

img

find:
a. img
b. img
c. img
d. img
4. Given ...

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