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

b.p(x>3)

c.P(2

d.P(4

\fVerify that the function is a valid probability density function by conrming the given density function satises the probability density function properties. Select the correct choice below and, if necessary, ll in the answer box within your choice. As f(x)s 0 for at least one value of x and the total area under the density function above the x-axis is .1 . the given function is a valid probability density function. ' (Type an integer or a decimal. Do not round.) B. As f(x)2 O for all values of x, the given function is a valid probability density function. .> 0 As the total area under the density function above the x-axis is , the given function is a valid probability density function. ' (Type an integer or a decimal. Do not round.) .> D As f(x)2 0 for all values ofx and the total area under the density function above the x-axis is , the given function is a valid probability density function. 'V ' (Type an integer or a decimal. Do not round.)