Answer:
Well figure it out yourself because you need to not fall asleep in class. It has happened to me before and I had to control myself!!
Step-by-step explanation:
The perimeter will scale linearly with the sides, so
Third choice.
Answer:
(a): Marginal pmf of x
(b): Marginal pmf of y
(c): Mean and Variance of x
(d): Mean and Variance of y
(e): The covariance and the coefficient of correlation
Step-by-step explanation:
Given
<em>x = bottles</em>
<em>y = carton</em>
<em>See attachment for complete question</em>
<em />
Solving (a): Marginal pmf of x
This is calculated as:
So:
Solving (b): Marginal pmf of y
This is calculated as:
So:
Solving (c): Mean and Variance of x
Mean is calculated as:
So, we have:
Variance is calculated as:
Calculate
So:
Solving (d): Mean and Variance of y
Mean is calculated as:
So, we have:
Variance is calculated as:
Calculate
So:
Solving (e): The covariance and the coefficient of correlation
Covariance is calculated as:
Calculate E(xy)
This gives:
So:
The coefficient of correlation is then calculated as:
--- approximated
Answer:
(c) 5/2
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
Using these rules, we can simplify the expression as follows:
(5^-3)(2^2)(5^6)/((2^3)(5^2)) = (5^(-3+6-2))(2^(2-3)) = (5^1)(2^-1)
= 5/2