https:/ thx tudent/PlayerHom onld-7 STA 4032 40354-003 Moosai mario gonzales I 2

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https:/ thx tudent/PlayerHom onld-7 STA 4032 40354-003 Moosai mario gonzales I 2/21/18 5:20 PM Homework: Section 4.2 HW Score: 0 of 1 pt 4.2.43 Score: 85 71%, 6 of 7 pts The length of time, in minutes, for an airplane to obtain clearance for takeof at a certain airport is a random variable Y-5X-6, where X has the following density function. Find the mean and variance of the random variableY 0, xo The mean of Y is 9 (Type an integer or a fraction) The variance of Y is Type an integer or a fraction.) All parts showing

Explanation / Answer

here as X being exponential function:

mean of X =E(X) =3

and Variance Var(X) =32 =9

therefore mean of Y =5E(X)-6 =5*3-6=9

Var(Y) =Var(5X-6) =52*var(X) =25*9 =225

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