suppose that on the average one person on 1000 makes an error in preparing his income tax return

Name: suppose that on the average one person on 1000 makes an error in preparing his income tax return if 1000 forms are selected at random and examined find the probability that i 6 forms will ha 57887
Uploaded: 2022-08-10T06:34:17-08:00
Duration: 3 min 6 s
Channel: T. L.
Description: suppose that on the average one person on 1000 makes an error in preparing his income tax return if 1000 forms are selected at random and examined find the probability that i 6 forms will ha 57887

Step 1: For part i, we are looking for the probability that exactly 6 forms will have an error.

Question

Suppose that on average one person out of 1000 makes an error in preparing their income tax return. If 1000 forms are selected at random and examined, find the probability that: i) 6 forms will have an error. ii) At most 3 of the forms will have an error.

          Suppose that on average one person out of 1000 makes an error in preparing their income tax return. If 1000 forms are selected at random and examined, find the probability that:

i) 6 forms will have an error.
ii) At most 3 of the forms will have an error.

Added by Vicente H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert T. L.

08/10/2022

Step 1

We will use the Poisson distribution formula: \[ P(X = k) = \frac{e^{-\lambda} \lambda^k}{k!} \] where \( \lambda = 1 \) (average number of errors) and \( k = 6 \). Plugging in the values, we get: \[ P(X = 6) = \frac{e^{-1} \times 1^6}{6!} \] \[ P(X = 6) = Show more…

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Suppose that on average one person out of 1000 makes an error in preparing their income tax return. If 1000 forms are selected at random and examined, find the probability that: i) 6 forms will have an error. ii) At most 3 of the forms will have an error.