Question

A certain country is reported to have among the highest percentage of citizens aged 60 years and over, at approximately 27.0 % (.e. 27.0 % of its population falls within this age category). If 50 individuals are randomly selected from the population, and X is the number of individuals out of 50 that are 60 or more years old, find the following statistics. a) What is the mean of X? Round your answer to at least 3 decimal places Number b) That is the standard deviation of X? Round your answer to at least 3 decimal places, Number

Answer 1

Given that:

P=0.27

X :The number of individuals out of 50 that are 60 or more years old

The sampling distribution of X is

a)Mean of X= P=0.27

b) $Standard eviation =\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.27*0.73}{50}}=0.0628$

Standard Deviation of X is 0.0628