Question

If there are 200 typographical errors randomly distributed in a 500-page manuscript, find: The probability that a given page contains exactly 3 errors. The probability that a given page contains no errors . The probability that it contains at least one error. The variance and the standard deviation.

Name: if there are 200 typographical errors randomly distributed in a 500 page manuscript find the probability that a given page contains exactly 3 errors the probability that a given page contain 69774
Uploaded: 2021-11-24T02:12:37-08:00
Duration: 3 min 26 s
Channel: David Nguyen
Description: if there are 200 typographical errors randomly distributed in a 500 page manuscript find the probability that a given page contains exactly 3 errors the probability that a given page contain 69774

          If there are 200 typographical errors randomly distributed in a
500-page manuscript, find:
The probability that a given page contains exactly 3
errors.
The probability that a given page contains no errors .
The probability that it contains at least one error.
The variance and the standard
deviation.

Added by Mathew W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

11/24/2021

Step 1

- Using the binomial distribution formula: \(P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k}\) - Here, n = 500 (number of trials/pages), k = 3 (number of successes/errors), p = 200/500 = 0.4 (probability of success/error) - \(P(X = 3) = \binom{500}{3} \times Show more…

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If there are 200 typographical errors randomly distributed in a 500-page manuscript, find: The probability that a given page contains exactly 3 errors. The probability that a given page contains no errors . The probability that it contains at least one error. The variance and the standard deviation.