Question

In a recent year, an author wrote 191 checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check.

--The probability is____ (Round to three decimal places as needed.)

Answer #1

**Solution-:**

**Given :** In a recent year, an author wrote 191
checks. ( i.e. in 365 days)

In recent year, an author wrote average checks in per day is

Let X: X-be number of checks he wrote in a recent year, on a randomly selected day

This situation is suitable for Poisson distribution with m=0.52

The p.m.f. of X is,

We find, P[on a randomly selected day, he wrote at least one check]

(using p.m.f.)

Therefore, the required probability is
**0.691**

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