statistics

posted by .

A firm has 30% of its service calls made by a contractor, and 15% of these calls result in customer complaints. The other 70% of the service calls are made by their own employees, and these calls have a 5% complaint rate. Use Bayes’ theorem to find the probability that a complaint was from a customer whose service was provided by their own employees.

  • statistics -

    E=calls by employees
    C=complaints

    P(E)=1-0.30=0.70
    P(C|E')=0.15
    P(C|E)=0.05
    P(C)=0.7*0.05+0.3*0.15=0.08
    P(E|C)=P(E∩C)/P(C)
    =P(C∩E)/P(C)
    =P(C|E)*P(E)/P(C) (Bayes' theorem)
    =0.05*0.7/0.08
    =35/80
    =7/16
    =

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Joe's electric made 16 customer calls last week and 22 calls this week. How many calls must be made next week in order to maintain an average of at least 21 calls for the three week period?
  2. Algebra

    Joe's electric made 18 customer calls last week and 25 calls this week. How many calls must be made next week in order to maintain an average of at least 21 calls for the three week period at least __ calls must be made to maintain …
  3. Algebra

    If i take 5000 calls at 78% service level, how many calls would I need to take at 100% to equal an overall service level of 80%
  4. Algebra

    If i take 5000 calls at 78% service level, how many calls would I need to take at 100% to equal an overall service level of 80% Please post formula
  5. algebra

    Joe's electric made 17 customer calls last wk and 23 calls this week. How many calls must be made next week in order to maintain an average of at least 21 calls per week for the three week period?
  6. math

    Joes electric made 19 customer calls last week and 24 calls this week, How many calls must be made next week in order to maintain an average of at least 21 calls per week for the three week period?
  7. statistics

    The company policy for customer service representatives gives time off for positive reviews. If, in the first 20 calls a customer service agent handles in a day, 13 or more elect to take a subsequent survey and rate the service as …
  8. Algebra

    A cell phone plan has the following charges: Basic service, including 100 minutes of calls :$20 per month 2nd 100 minutes of calls: $0.075 per minute Any additional minutes: $0.10 per minute What is the charge for 200 minutes of calls?
  9. Statistics

    A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows: one column has number of service calls (X) those numbers are 0 1 2 3 4 5. The …
  10. statistics

    For a sample of 50 days, George Murnen made an average of 5.02 calls per day. At the .05 significance level, is there a difference in the mean number of calls per day between the two employees?

More Similar Questions