Answer:
The mean is 27.8
The required variance is 23.9358
Step-by-step explanation:
Consider the provided information.
Here the random sample size, n = 200
Unemployment rate is 13.9% = p = 0.139
Part (a) expected number of grads who are unemployed.
Hence, the mean is 27.8
Part (b) variance of the random variable "number of grads who are unemployed.
Hence, the required variance is 23.9358
Answer:
The probability function of X and Y is
With k in {1,2,3,4,5,6}
Step-by-step explanation:
We can naturally assume that X and Y are independent. Because of that, P(X=a, Y=b) = P(X=a) * P(Y=b) for any a, b.
Note that, since the die is honest, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. We can conclude as a consequence that P(X=k, Y=l) = P(Y=l)/6 for any k in {1,2,3,4,5,6}.
Y has a binomial distribution, with parameters n = 3, p = 1/2. Y has range {0,1,2,3}. Lets compute the probability mass function of Y:
Thus, we can conclude that the joint probability function is given by the following formula
For any k in {0,1,2,3,4,5,6}