analyze two variables that cause constant complaints from
customers. He knows that the time in line (X, in minutes) and the
time of attention (Y in minutes) of the customers to make their
purchases are random variables that are jointly distributed
according to the following density function:
- The Manager Of The Market S A Commercial Establishment Wishes To Analyze Two Variables That Cause Constant Complaints Fr 1 (137.99 KiB) Viewed 110 times
De otro modo = else
With the data provided, solve the following problems:
1. The manager wants to find out if there is a strong linear
relationship between the two study variables. Then:
A. What is the marginal function for the variable Y? B.
What is the value of E (X^2)? C. What is the variance?
D. If E (Y) = 6.667, what is the variance of the attention
time? E. what is the correlation coefficient?
2. The manager wants to estimate the expected customer
service time conditional on the time they spent in the queue.
Then:
A. What is the value of the function of customer service
time when they spent 2 minutes in the queue? B. What is the
expected value of the customer service time when they spent 2
minutes in the queue?
3. The manager wants to calculate the probability that the
attention time will be longer than the queue time by more than 6
minutes. So what is the requested probability?
Y .) - 10 f(x,y) { ; si 5<y s 10 - x, 0<x55 ; de otro modo 8 6 4 N 10 X 0 2 4 6 8 Se conoce además que: E[X] = 1.667 2(5-x) 25 fx(x) = { ; si 0<x< 5 ; de otro modo