10pts Suppose that X has a lognormal distribution with param

10pts) Suppose that X has a lognormal distribution with parameters 6 2 and co2 4. Determine following: (a) P (X 500) (b) P(500

X is log normal with parameters 2 and var = 4

a) P(X<500) = 0.9825

b) P(500<x<1000) = 0.9929-0.9825

= 0.0104

c) P(1500<x<2000)

= 0.9974-0.9961

=0.0013

d) The difference probability is decreasing.