Question

Question 1 options: It was found that 60% of people have a dog as a pet. If a random sample of 11 people is selected, what is the variance of the number of people that have a dog as a pet

Answer 1

Answer:

$Var= 2.64$

Step-by-step explanation:

Given

$p = 60\%$ ---Proportion

$n = 11$ --- Sample Size

Required

Determine the variance

Variance (Var) is calculated as follows;

$Var= np(1 - p)$

Substitute values for n and p

$Var= 11 * 60\% * (1 - 60\%)$

Convert percentage to decimal

$Var= 11 * 0.60 * (1 - 0.60)$

$Var= 11 * 0.60 * 0.40$

$Var= 2.64$

Hence, the variance is 2.64