Question

Give three examples of Bernoulli random variables (other than those in the text).

a.X = the number of fiction books owned by a randomly selected student, and X = 0 if there are none.
b. X = the number of lightbulbs that need to be replaced in a randomly selected building, and X = 0 if there are none.
c. X = 1 if a randomly selected book is fiction, and X = 0 otherwise.
d. X = 1 if a randomly selected driver has automobile insurance, and X = 0 otherwise.

Answer 1

The examples of Bernoulli random variables include the number of fiction books owned, the number of lightbulbs that need replacing in a building, and whether a book is fiction or not.

Step-by-step explanation:

a. The random variable X can be defined as the number of a certain event occurring in a given trial. In this case, the examples given are the number of fiction books owned by a randomly selected student, the number of lightbulbs that need to be replaced in a randomly selected building, the number of randomly selected books that are fiction, and the number of randomly selected drivers who have automobile insurance.

b. To find the probability that a customer rents three DVDs, we need more information about the specific conditions of the experiment.

c. To find the probability that a customer rents at least four DVDs, we need more information about the specific conditions of the experiment.

d. To find the probability that a customer rents at most two DVDs, we need more information about the specific conditions of the experiment.