Answer:
mean = 160
Variance = 156.8
Standard deviation = 12.52
Step-by-step explanation:
This is solved by the binomial distribution model for approximation.
n = number of random sample in which for this question, n= 8000
p = probability of success = 2% = 0.02
Mean of the sample = Expected value which approximates the average number of cases to expect from the larger sample chosen.
Mean = np = 0.02 × 8000 = 160
Variance = np(1-p) = 160(1-0.02) = 156.8
Standard deviation = √variance = √156.8 =12.52
