Best-Selling Albums. Refer to Exercise 1.44.

(a) List the 20 possible samples (without replacement) of three artists that can be selected from the six.

(b) Describe a procedure for taking a simple random sample of three artists from the six.

(c) If a simple random sampling procedure is used to obtain three artists, what are the chances of selecting M, A, and L? P, L, and E?

The given statement is:

From exercise 1.44 we know that Eagles (E), Michael Jackson (M), Pink Floyd (P), Led Zeppelin (L), AC/DC (A), and Billy Joel (B) are the top six best-selling albums by artist (B).

Samples are:

(E, M, P), (E, M, L), (E, M, A), (E, M, B), (E, P, L), (E, P, A), (E, P, B), (E, L, A ), (E, L, B), (E, A, B), (M, P, L), (M, P, A), (M, P, B), (M, L, A), (M, L, B) (M, A, B), (PLA), (PLB),

(P, A, B), (L, A, B)

We can follow the below-given procedure for taking a random sample:

1. We can write the letters that correspond to the six best-selling albums of all time (E, M, P, L, A, B) on separate pieces of paper to produce a simple random sample of size 3.
2. We could choose three slips of paper while blindfolded by placing these six slips of paper in a box and shaking it.

Total outcomes are 20.

The probability of selecting M, A, and L is:

$=\frac{1}{20}$

The probability of selecting P, L, and E is:

$=\frac{1}{20}$