The strength x of a certain material is such that its distribution is found by x = ey, where y is n(10, 1). find the cdf and pdf of x, and compute p(10, 000 < x < 20, 000). note: f(x) = p(x ≤ x) = p(ey ≤ x) = p(y ≤ ln x) so that the random variable x is said to have a lognormal distribution.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

0 is its x and y coordinate

probability for j is 1/4

while

a is 1/6