Question

Let x denote the number of heads occurring on two coin tosses. Show what value the random variable would assume for each of the experimental outcomes. If an outcome does not occur, enter 0.

a. 0, 1, 2
b. 0, 2
c. 1
d. 0, 1

Answer 1

The random variable X represents the number of heads obtained from two coin tosses. X can take on values 0, 1, or 2, corresponding to the outcomes TT for zero heads, HT or TH for one head, and HH for two heads.

Step-by-step explanation:

The question involves the concept of a random variable associated with the outcome of tossing coins. Let's define the random variable X to represent the number of heads obtained when tossing two fair coins. The possible outcomes when tossing two coins are HH (two heads), HT (one head and one tail), TH (one tail and one head), and TT (two tails).

1. If the outcome is HH, then X = 2 since there are two heads.
2. If the outcome is TT, then X = 0 as there are no heads.

Therefore, the random variable X can take on the following values:

1. X = 1 for outcomes HT and TH,
2. X = 2 for the outcome HH.