subject
Mathematics, 27.03.2021 04:00 natalie2sheffield

A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i. e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 15:40
What is the first quartile of this data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38 a. 12 b. 19 c. 29 d. 10
Answers: 1
question
Mathematics, 21.06.2019 17:20
What is the reflection image of (5,-3) across the line y = -x?
Answers: 1
question
Mathematics, 21.06.2019 19:00
Is this a polynomial function? i need to know asap
Answers: 2
question
Mathematics, 21.06.2019 19:30
Find the area of the unshaded square
Answers: 1
You know the right answer?
A help desk has two employees with one working during the day and one working at night. The number o...
Questions
question
Mathematics, 15.10.2019 06:30
question
Geography, 15.10.2019 06:30
Questions on the website: 13722367