Question

Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 3 that can be obtained from the population of five officials. Governor ​(Upper G​) Lieutenant Governor ​(Upper L​) Secretary of State ​(Upper S​) Representative ​(Upper R​) Press Secretary ​(Upper P​) b. If a simple random sampling procedure is used to obtain a sample of three ​officials, what are the chances that it is the first sample on your list in part​ (a)? the second​ sample? the tenth​ sample? a. List all 10 possible samples​ (without replacement) of size 3. Use the letter abbreviation for each official.

Answer 1

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10