Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as , 
And the variance is given by, 
Given : 
= 0.001
The formulae of mean and variance are :



a). Mean = 
=
= 1000
Variance = 
= 
= 999,000
The standard deviation is determined by the root of the variance.

=
= 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

= $ 0.50
Since the answer is negative, we are expected to make a loss.
Answer:
yes
Step-by-step explanation:
Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.
y = x, that is
2 = 2 ← True
x + 2y = 6, that is
2 + 2(2) = 2 + 4 = 6 ← True
Thus (2, 2) is a solution of the system
256.5/18= 14.25
(14.25x2)+(18x2)= 64.5m