Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. at a call center, calls come in at an average rate

At a call center, calls come in at an average rate of four calls per minute....

60.1K

Verified Solution

Question

Statistics

At a call center, calls come in at an average rate of four callsper minute. Assume that the time elapsed from one call to the nexthas the exponential distribution, and that the times between callsare independent.

a. Find the average time between two successive calls.

b. Find the probability that after a call is received, the nextcall occurs in less than ten seconds.

c. Find the probability that less than five calls occur within aminute.

d. Find the probability that more than 40 calls occur in aneight-minute period.

e. Find a 95% confidence interval for the number of calls in aminute.

Answer & Explanation Solved by verified expert
3.7 Ratings (389 Votes)
aOn average there are four calls occur per minute so 15 secondsor 1560 025 minutes occur between successive calls onaveragebLet T time elapsed between calls From part a025 so m 1025 4 Thus T Exp4 The    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

General Management
1.2K views

Firm: WALMART External Analysis. Complete an external environment analysis (1-Economic, 2- Social Values, Cultural, & Demographics.) You must...

General Management
1.2K views

One source for new salespeople is recruiting from competitors. Identify and explain pros and cons of...

Accounting
1.2K views

Explain in summary of how an auditor audited cash and marketable securities.

Biology
1.2K views

The flower part that produces microspores and ultimately microgametophytes is the anther of the stamen...

Basic Math
1.2K views

Find the derivative of the function y x 3 x 2 dy dy 11

Calculus
1.2K views

12 4x 2 83x 1 x a 1 11 b 1 C 1 d 1

Calculus
1.2K views

25 Suppose that points A R and V are collinear If AR 7 and RV...

Algebra
1.2K views

Express f x in the form f x x k q x r for the...

Algebra
1.2K views

K Graph the function f x 2 3 Give the domain and range Which transformations...

Accounting
1.2K views

At December 31, 2021, Blossom Imports reported this information on its balance sheet. ...

Accounting
1.2K views

to record credit sale,merchandise sold,returned,cost,credit sale,,THANK YOU IN ADVANCE!!!! Assume...

Accounting
1.2K views

Required information [The following information applies to the questions displayed below.] Prat Corp....