girl-logo

Ask Questions

Question

Harris Marsh

09/06/2024 · Junior High School

1 in 8 customers will not renew their contract after 1 year.

If you attract 720 new customers this year, how many of them will, on average, cancel their contract next year?

a. 720* (1/9) b. 720 / 8 c. 720-(720/9) d. 720-(720/8) e. 720 / 9

 

Answer
expertExpert-Verified Answer

Potter Washington
Competent Tutor
4.0 (16votes)

 b. 720 / 8

Solution

  1. Given that 1 in 8 customers will not renew their contract after 1 year, the fraction of customers who will cancel is \(\frac { 1} { 8} \).
  2. To find the number of customers who will cancel, multiply the total number of customers by the fraction who will cancel:
    \[\text { Number of cancellations} = 720 \times \frac { 1} { 8} \]
  3. Simplify the expression:
    \[720 \times \frac { 1} { 8} = \frac { 720} { 8} \]
    Therefore, the correct answer is \(720 / 8\).

 

Supplemental Knowledge

Probability and statistics consider expected value a measure of center of a probability distribution; it represents the average outcome if an experiment is repeated many times and used here as a means to ascertain average number of customers who cancel contracts.

 

Life in Context

Understanding expected value is integral for many fields including business, insurance and finance. Businesses use it to predict customer behavior while insurers use it when setting premiums and investors use it when analyzing potential returns on investments.

 

To deepen your understanding of probability and statistics concepts like expected value, explore UpStudy’s live tutor question bank or our AI-powered problem-solving services. Our resources provide detailed explanations and interactive learning experiences tailored to your needs.
For those looking to enhance their mathematical skills further, UpStudy offers comprehensive guides that make learning both engaging and effective!

Still have questions?
Ask UpStudy online

  • 24/7 expert live tutors

  • Unlimited numbers of questions

  • Step-by-step explanations

📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions