The Statistical Bulletin published by Metropolitan Life Insurance Co. reported that 2% of all American births result in twins. If a random sample of 8000 births is taken, find the mean, variance, and standard deviation of the number of births that would be result in twins

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

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.