Question

Norb and Gary are entered in a local golf tournament. Both have played the local course many times. Their scores are random variables with the following means and standard deviations.

Norb, x₁: μ₁ = 115; σ₁ = 8
Gary, x₂: μ₂ = 100; σ₂ = 18

In the tournament, Norb and Gary are not playing together, and we will assume their scores vary independently of each other.

(a) The difference between their scores is

W = x₁ − x₂.

Compute the mean, variance, and standard deviation for the random variable W. (Round your answers to one decimal place.)

μ
σ2
σ

(b) The average of their scores is

W = 0.5x₁ + 0.5x₂.

Compute the mean, variance, and standard deviation for the random variable W. (Round your answers to one decimal place.)

μ
σ2
σ

(c) The tournament rules have a special handicap system for each player. For Norb, the handicap formula is

L = 0.8x₁ − 12.

Compute the mean, variance, and standard deviation for the random variable L. (Use 2 decimal places.)

μ
σ2
σ

(d) For Gary, the handicap formula is

L = 0.85x₂ − 5.

Compute the mean, variance, and standard deviation for the random variable L. (Use 2 decimal places.)

μ
σ2
σ

Answer 1

hii... although I am trying to provide the detailed answer but if you have any doubt please ask by comment. your rating encourage us to provide the detailed and effective answers so please like the answer. thanks..