A claim about the distribution of random variable R that is best supported by the histogram is: E. On a given day, it is equally likely for the museum to have less than 300 visitors as it is to have more than 300 visitors.
In Mathematics and Statistics, a histogram is a type of graph that is used for the graphical representation of a data set into user-specified ranges, especially through the use of rectangular bars.
By critically observing the histogram shown in the image attached below, we can reasonably infer and logically deduce that the data distribution is symmetric, which ultimately implies that numerical values below and above the center are equally likely.
In this context, we can assert that "it's equally likely for the museum to have less than 300 visitors, as it is to have more than 300 visitors on a given day."
Complete Question:
Let random variable R represent the the number of visitors to a certain museum during a given day. The following table shows the probability distribution of the random variable. Which of the following claims about the distribution of random variable R is best supported by the histogram? A. The most likely number of visitors to the museum on a given day is between 450 and 500.
B. The mean number of visitors to the museum is much less than the median number of visitors.
C. The mean number of visitors to the museum is much greater than the median number of visitors.
D. On a given day, the number of visitors from 100 through 500 will occur with equal probabilities.
E. On a given day, it is equally likely for the museum to have less than 300 visitors as it is to have more than 300 visitors.