Answer to Question #201332 in Statistics and Probability for Jester

Question

Direction: Provide step by step solutions to the given problem below. Write your answers on the spaces provided. Joe, a DOH Covid-19 tracker, found out that the number of infected persons of Covid-19 in seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, and 10. Suppose that 5 provinces are drawn as sample. 

Answer 1

Number of samples of size 5 that can be drawn from the set of 7 low-risk provinces of the country is equal to $^7C_5=21\ Samples$

and the possible samples are:

{1,9,2,12,8}

{1,9,2,12,7}

{1,9,2,12,10}

{1,9,2,8,7}

{1,9,2,8,10}

{1,9,2,7,10}

{1,9,12,8,7}

{1,9,12,8,10}

{1,9,12,7,10}

{1,9,8,7,10}

{1,2,12,8,7}

{1,2,12,8,10}

{1,2,12,7,10}

{1,2,8,7,10}

{1,12,8,7,10}

{9,2,12,8,7}

{9,2,12,8,10}

{9,2,12,7,10}

{9,2,8,7,10}

{9,12,8,7,10}

{2,12,8,7,10}