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The pdf of the weight of packages delivered by a post office is f(x)=70/69x^2 for 1≤x≤70...

The pdf of the weight of packages delivered by a post office is

f(x)=70/69x^2 for 1≤x≤70 pounds

What is the probability that a package weighs less than 10 lb?

What is the mean package weight?

What is the variance of the weight?

If shipping costs $3 per pound, what is the average cost of a package?

Round to 2 decimal digits

Math   Statistics-And-Probability   
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