Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a toll-free phone number is available from 9 a.m.

A toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to...

Free

50.1K

Verified Solution

Question

Basic Math

A toll-free phone number is available from 9 a.m. to 9 p.m. foryour customers to register complaints about a product purchasedfrom your company. Past history indicates that an average of 1.0calls are received per minute. Complete parts (a)through (c).


A.    what is the probability that during a1 min period zero phone calls will be received?

B.    what is the probability that during a1 min period three or more phone calls will be received?

C.    what is the maximum number of phonecalls that will be received in a 1 min period 99.99% of thetime?

Answer & Explanation Solved by verified expert
3.6 Ratings (519 Votes)

a) the probability that during a​ 1-minute period zero phone calls will be​ received is,

P(k=0)=e-1 *(10 /0!)=e-1 =0.3679

Excel function:

P(k=0)=POISSON(0,1,FALSE)=0.3679

b) the probability that during a​ 1-minute period three or more phone calls will be​ received is,

P(k>=3)=1-e-1 *( 10/0!+11/1!+12/2!)

                 =1-0.3679(1+1+0.5)

                 =1-0.3679*2.5

                  =1-0.9197

                  =0.0803

Excel function:

P(k>=3)=1-POISSON(2,1,TRUE)=0.0803

c) maximum number of phone calls that will be received in a​ 1-minute period​ 99.99% of the​ time is,

No. of calls(x) POISSION(x,1,TRUE)
3 0.9810
4 0.9963
5 0.9994
6 0.9999
7 1.0000
8 1.0000

Hence,maximum number of calls is 6 in a 1 minute period 99.99% of the time.

Please upvote my answer if you like..
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

Finance
1.2K views

Cavalier Custom Design Inc. just paid a dividend of? $0.73. Its stock has a dividend growth...

Chemistry
1.2K views

Draw and name the three demential shape for SOCl2. Indicate the calues of the bond angles...

Finance
1.2K views

explain difference between Operating and Terminal Cash Flow 250 words

Psychology
1.2K views

Which social, cultural, and other environmental factors explain some of the racial differences in intelligence test...

Advance Math
1.2K views

find the minimum and maximum values of z=9x+8y, if possible for the following set of constrains:...

Calculus
1.2K views

Find the vertex of the graph of the function. Do not enter any spaces in...

Algebra
1.2K views

Given y = 5log,x, which of the following statements is/are true about the function and...

Accounting
1.2K views

Alfonso Inc. acquired 100 percent of the voting shares of BelAire Company on January 1,2020....

Accounting
1.2K views

These are all the questions and my answers. I need help with 3 box that...

Accounting
1.2K views

Beasley Incorporated reports the following amounts in its December 31,2024, income statement. Prepare a multiple-step...

Accounting
1.2K views

1. Distinguish between corporations and sole proprietorships in terms of the following characteristics: a) Owners'...

Finance
1.2K views

Vonte Company has a 22 percent tax rate. Its total interest payment for the year...