In Exercises 1–10, use the data in the accompanying table and ...

Question

In Exercises 1–10, use the data in the accompanying table and express all results in decimal form. (The data are from “The Left-Handed: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519.)

Complement If M represents the event of randomly selecting one of the study subjects and getting someone who is a male, what does M represent? Find the value of P(M)

Accepted Answer

Welcome back, everyone. In a workplace survey, employees were asked whether they prefer working remotely or working on site. The results are shown below. Let Y be the event of randomly selecting a person who is a younger employee. State the meaning of Y bar and find the value of P of Y bar. So first of all, we know that why is the event of randomly selecting a person who is a younger employee. If we add a bar, it basically represents the complement of an event A, meaning the opposite event. So this simply means that we are selecting a person who is not a younger employee. So Y bar represents the event that the selected. Person Is not. A younger employee. And now knowing that we can identify the probability of Y bar. Now what does that mean? Well, we are looking for the probability of selecting an older employee. So, let's recall that the probability of an event Y bar is simply the ratio of favorable outcomes and the total number of outcomes. The total number of outcomes and is going to be the total sample size within our survey. So we have those who prefer remote work, on-site work, and then we're splitting those into younger employees and older employees. So N is the total number of survey participants, 52. Plus 28 + 68 + 102, which equals 250. So that's the total sample size, 250 participants, and M. Would be the number of older employees. So we can identify M by taking the total sample size 250, and subtracting the total number of younger employees because we're looking for older employees. So 250 minus 52 + 68. And this gives us a total of 130 older employees. Which is also consistent with the sum between 28 and 102. So P of Y bar equals 130 divided by 250. Which is equal to 0.52. Well done, so we have our final answer, and thank you for watching.

��app

Watch next

����app

Watch next

��app