A manager has been given the table shown below and is asked to generate random numbers.Which of the following statements is TRUE?
A)There are no customers in the store 49 percent of the time.
B)The probability of having one customer in the store is 0.30.
C)The relative frequency of having two customers in the store is 0.80.
D)If we randomly choose the numbers 0 through 99 enough times,about 99 percent of the time we will have two customers in the store.

Question

A manager has been given the table shown below and is asked to generate random numbers.Which of the following statements is TRUE? 
A)There are no customers in the store 49 percent of the time. 
B)The probability of having one customer in the store is 0.30. 
C)The relative frequency of having two customers in the store is 0.80. 
D)If we randomly choose the numbers 0 through 99 enough times,about 99 percent of the time we will have two customers in the store.

Quizplus · Accepted Answer

The table shows the probability distribution of the number of customers in the store. The sum of the probabilities must be 1. Therefore, the probability of having no customers is 0.10, the probability of having one customer is 0.30, the probability of having two customers is 0.40, the probability of having three customers is 0.15, and the probability of having four customers is 0.05. Option A is false because the probability of having no customers is 0.10, not 49 percent. Option C is false because the relative frequency of having two customers cannot be higher than the probability, which is 0.40. Option D is false because the probability distribution only applies to the given scenario and does not guarantee the occurrence of two customers if we randomly choose numbers 0 through 99.

A Manager Has Been Given the Table Shown Below and Is