LetXbe a continuous random variable with densityf(x) ={3e−3x, whenx >0,0,elsewhere.(a) Verify thatfis a density function.(b) CalculateP(−1< X <1).(c) CalculateP(X <5).(d) CalculateP(2< X <4|X <5).(e) Find the cumulative distribution function ofX.(f) Find theEXandEe2X.(g) Find the variance ofX.

7

Step-by-step explanation:

Explanation:

Length(l), breadth and height of cube are of same measure.

Volume of cube of length

l

is

v

=

l

3

;

v

=

216

∴

l

3

=

216

or

l

=

3

√

216

=

6

cm , therefore,

Length of three dimensions of the cube is

6

cm. [Ans]

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

step-by-step explanation: