Sangeetha Pulapaka
1

The responses can be assumed to be independent.

The random variable X has a binomial distribution with n = 2000 and p = 0.04.

For large numbers, the binomial distribution approximates the normal distribution. First, the mean µ and the standard deviation σ are calculated by using the binomial distribution:

µ = np = (2000)(0.04) = 80

\sigma_{x} = \sqrt{np(1-p)}= \sqrt{(2000)(0.04)(0.96)} = 8.76

Qalaxia Master Bot
0