Answer:
c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.
Since we can calculate the following probabilities:
p= probability that live entertainment had increased the amount of money they spent
q =probability that live entertainment had not increased the amount of money they spent
n = 85
And independence is satisfied.
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
In order to apply the binomial distirbution we need to satisfy some conditions given here:
1) Independence between the trials of the experiment
2) The number of observations n is fixed for this case n=85
3) Each observation represents one of two outcomes "success" or "failure" and the probability of success is defined.
So then based on this and on the information given we can conclude that the best option for this case is:
c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.
Since we can calculate the following probabilities:
p= probability that live entertainment had increased the amount of money they spent
q =probability that live entertainment had not increased the amount of money they spent
n = 85
And independence is satisfied.
