The document verifies that a given function is a valid probability density function and then asks to calculate several probabilities based on that function. It asks whether the function is valid, then to find the probabilities of x being less than 8, greater than 7, between 6 and 10, and between 8 and 11.

1. Verify that the function corresponding to the figure to the right is a valid probability density
function. Then find the following probabilities: a. P(x<8) b. P(x>7) c. P(6<x<10) d. P(8<x<11) As f(x
)0 for all values of x and the total area under the density function above the x-axis is the given
function is a valid C. probability density function (Type an integer or a decimal. Do not round) As f(
x)0 for at least one value of x and the total area undec the density function above the x-axis is the
given function is a D. valid probablity density function. (Type an integer or a decimal. Do not
round.) a. P(x<8)= (Type an integer or a decimal. Do not round.) b. P(x>7)= (Type an integer or a
decimal Do not round.) c. P(6<x<10)= (Type an integer or a decimal. Do not round) d. P(8<x<11)=
(Type an integer or a decimal. Do not round.)