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.

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