Question

Recall the standing ovation model. Suppose that for a particular show, perceptions of show quality are uniformly distributed between 0 and 100. Also suppose that individuals stand if they perceive the quality of the show to exceed 60 out of 100. Approximately what percentage of people will stand initially?

Answer 1

To find the percentage of people who will stand initially, we need to determine the proportion of individuals who perceive the quality of the show to exceed 60 out of 100. The proportion is 40%.

Step-by-step explanation:

To find the percentage of people who will stand initially, we need to determine the proportion of individuals who perceive the quality of the show to exceed 60 out of 100. Since perceptions of show quality are uniformly distributed between 0 and 100, we can calculate the proportion by finding the length of the interval (60, 100] and dividing it by the total length of the interval (0, 100].

The length of the interval (60, 100] is 100 - 60 = 40.

The length of the interval (0, 100] is 100 - 0 = 100.

Thus, the proportion of people who will stand initially is 40/100 = 0.4, or 40%.