Question

(a) Count the number of ways to select a sample of 3 people to serve on a board of directors from a population of 6 people________. answer:
(b) If a simple random sampling procedure is to be employed, the chances that any particular sample will be the one selected are__________.

Answer 1

Answer:

(a) 20 ways

(b) 0.05 or 5%

Step-by-step explanation:

(a) Assuming that the order in which people are chosen does not matter, the number of ways to select 3 people out of possible 6 is given by the following combination.

$n=\frac{6!}{(6-3)!3!}=\frac{6*5*4}{3*2*1}=20\ ways$

(b) In a random sampling procedure, every outcome is just as likely to occur. Therefore, the chances that any particular sample will be the one selected are:

$C = \frac{1}{20}=0.05 = 5\%$