The probability that the schools in Los Angeles will be closed for four days next year is 0.1680.
<h3>What is Poisson's distribution formula?</h3>
In order to comprehend separate events that happen at a steady pace over the course of a specified amount of time, Poisson's distributions are frequently utilized.
Formula for Poisson's distribution:
f(x) = ((λ^x)/x!).(e^(-λ))
x = Event to be calculated for
λ = Expected number of occurrences
P(X = x) = ((λ^x)/x!).(e^(-λ))
Here λ = 3 and x = 4
P(X = 4) = (81 / 4!).(e^(-3))
P(X = 4) = (81 * e^(-3))/24
P(X = 4) = (81 * 0.049)/24
P(X = 4) = 0.1680
Hence, the probability that schools in Los Angeles will be closed for four days next year is 0.1680.
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