The snowfall in inches at a particular location is given by the following probability density function: f(x) = x 9 0 ≤ x ≤ 3 = 3 x 2 3 ≤ x ≤ b = 0 x > b • determine the value of b? • determine the cdf? • determine the expected value (or mean) of snowfall? • determine the standard deviation of snowfall? • the investment needed to clear a snowfall of x inches is h(x) = 5x 2 . determine the expected value of investment needed to clear the snowfall?

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit