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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

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MrRoyal

Answer:

[tex]Var= 2.64[/tex]

Step-by-step explanation:

Given

[tex]p = 60\%[/tex] ---Proportion

[tex]n = 11[/tex] --- Sample Size

Required

Determine the variance

Variance (Var) is calculated as follows;

[tex]Var= np(1 - p)[/tex]

Substitute values for n and p

[tex]Var= 11 * 60\% * (1 - 60\%)[/tex]

Convert percentage to decimal

[tex]Var= 11 * 0.60 * (1 - 0.60)[/tex]

[tex]Var= 11 * 0.60 * 0.40[/tex]

[tex]Var= 2.64[/tex]

Hence, the variance is 2.64

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