In a town the
probability that an
inhabitant catches
malaria in any month is
0.2A farm in the town
employed 15 local people
Find the mean and
variance of the number of
employees catching
malaria
To find the mean and variance of the number of employees catching malaria, we need to use the concept of a binomial distribution.
In this case, the probability that an inhabitant catches malaria in any month is given as 0.2, and there are 15 employees on the farm.
To find the mean, we multiply the number of employees (n) by the probability (p).
Mean (μ) = n * p
In this case, the mean would be 15 * 0.2 = 3.
To find the variance, we multiply the number of employees (n) by the probability of not catching malaria (q), which is given by 1 - p.
Variance (σ^2) = n * q * p
In this case, the variance would be 15 * (1 - 0.2) * 0.2 = 2.4.
So, the mean number of employees catching malaria is 3, and the variance is 2.4.