Question
Asked Jan 21, 2020
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In Exercises 9–16, use the Poisson distribution to find the indicated probabilities.

Checks In a recent year, the author wrote 181 checks. Find the probability that on a randomly selected day, he wrote at least one check.

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Expert Answer

Step 1

Given:

Author wrote 181 checks in a year.

Total number of days in a year = 365

Statistics homework question answer, step 1, image 1
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Step 2

That is, 0.4959 checks written per day on average.

We have to find probability of writing at least one check.

That is,

P(X ≥1) = 1-P(X=0)

Step 3

Here, X follows Poisson prob...

Statistics homework question answer, step 3, image 1
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