- #1

Unusualskill

- 35

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## Homework Statement

A rectangular field is gridded into squares of side 1m. at one time of the year the number of snails in the field can be modeled by a Poisson distribution with mean 2.25 per m^2.

(i) a random sample of 120 squares is observed and the number of snails in each square counted. find the probability that the sample mean number of snails is at most 2.5

## Homework Equations

using central limit theorem, sample mean of X ~N (2.25, 2.25x1/120=0.01875)

p(sample mean of x<=2.5)

=p(z<(2.5+1/240-2.25)/ √0.01875)

=p(z<1.856)

=09682

## The Attempt at a Solution

Is this correct? any1? becuz I am nt sure whether poisson can do this way onot in sampling