Question

A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.

Name: A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.
Uploaded: 2021-11-24T15:50:22-08:00
Duration: 2 min 33 s
Channel: Ashwin Banarsee
Description: A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.

          A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.

Added by Jaime B.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Ashwin Banarsee

11/24/2021

Step 1

Given: - Probability of selecting the first typist: 0.5 - Average number of errors per article typed by the first typist: 3 Using the Poisson distribution formula: \[ P(0) = \frac{e^{-\lambda} \lambda^0}{0!} \] where \( \lambda = 3 \) Plugging in the values: \[ Show more…

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A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed by either typist, approximate the probability that it will have no errors.