Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The waiting times on hold for a call to a customer service department are observed to have the following probability distribution:

Number of calls, x Waiting time, minutes, f(x)
0 0
2 3
4 10
6 15
8 10
10 6

The expected value of the waiting time for a random call is most nearly: ________

a. 7.3 minutes
b. 9.2 minutes
c. 11.5 minutes
d. 15.0 minutes

Sagot :

ajeigbeibraheem

Answer:

b. 9.2 minutes

Step-by-step explanation:

To find the expected waiting time for a random call from the sampie given by using the formula:

[tex]\sum (f(X)) = \dfrac{\sum f (x) \times x}{\sum x}[/tex]

number of calls (x)           waiting time f(x) in minutes         f(x) *(x)

0                                                     0                                         0            

2                                                     3                                         6

4                                                     10                                       40

6                                                     15                                       90  

8                                                     10                                       80

10                                                     6                                       60  

[tex]\sum x = 30[/tex]                                                                          [tex]\sum f(x) *x = 276[/tex]

Therefore:

[tex]\sum (f(X)) = \dfrac{276}{30}[/tex]

[tex]\sum (f(X)) = 9.2[/tex]

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.