Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

a. The variables in Exercise 5.3 are either discrete or continuous. Which are they and why?b. Explain why the variable "number of dinner guests for Thanksgiving dinner" is discrete.c. Explain why the variable "number of miles to your grandmother's house" is continuous.

a. discrete, count; continuous, measurableb. countc. measurable

Intro Stats / AP Statistics

Chapter 5

Probability Distributions

Section 1

Random Variables

Probability Topics

Missouri State University

Cairn University

University of St. Thomas

Boston College

Lectures

0:00

02:20

Explain the difference bet…

02:24

a. Explain why the variabl…

01:33

Identify each variable as …

02:22

00:13

Use the following informat…

01:37

Consider the experiment of…

00:27

A study was done to determ…

00:12

01:09

01:32

Select 10 students current…

00:32

Determine whether each fun…

00:17

02:45

Above-average hot weather …

02:36

Identify each of the follo…

01:16

Government For Exercises $…

02:33

A March 11,2009, USA Toda…

03:25

In each part determine whe…

02:42

In a–d, each set of bivari…

this question gives us a couple of random variables and asks us to consider whether or not they're discrete or continuous part. A. The first part of this question asked us to consider our answers to questions. Five point question number three and question number three Accessed asked us to. Ah, answer. Take a survey of a number of siblings of our classmates and also the length of a conversation, the last conversation that we had with our mothers. Length of convo. Now we already looked at these random variables in depth a little bit in question three. But this asks us whether or not there, whether they're discreet or whether they continuous. So let's take a look. The 1st 1 the number of siblings, what we know right away that this is a count. We're counting the number of siblings and so automatically, when you're thinking counts, you should think of discrete. Anything that you can't have 1/2 of is automatically a discreet variable, discreet, random variable. Now, of course, there are. You can have half siblings, but that's not what we're talking about. In this instance we're talking about, um, the number of whole siblings that you have. So, no, you have 012 any whole number. But you can't have, like, 1/3 of a sibling. Um, And then when we talk about the length of the last conversation we had with our mothers again, things like time when you're talking about, like, length of time or, uh, number, number of days. Things like this, Um, time most of the time, be a continuous random variables. That's because there are uncountable number of values that this random variable could take. Say, for instance, uh, you could measure very, very accurately to the nanosecond How long you have so many possible outcomes for this A length of conversation. Um, and it is more specific your measurements get the more ah, uh, more options. You have more number outcomes you have for this random variable. Next we have, um it asked us about the number of guests at a Thanksgiving dinner again. Here were counting. Whenever you think whenever you're counting something, you can't have half of a guest. Even if people leave early, they're still like a guest. So whenever we're counting something, we know automatically, it's discreet And part c finally asked us. Thea number of miles to get to Grandma's house. Now the number of miles, um is it looks like account. You can you see again? Number of miles were counting miles, but consider this, um, we can have half of a mile, so I can say it's 2.5 miles to Grandma's house, and that makes sense that makes, ah, that's a valid outcome of this random variable. Um, so there's really are unaccountably infinite number of outcomes that this variable could take. Um, it's a spectrum. You can go anywhere from anywhere between zero and inf. Well, not an infinite number of miles again. We have physical limitations, but still uncounted Lee infinite number of outcomes for the number of miles to grandma's house. Therefore, this is a continuous random variable.

View More Answers From This Book

Find Another Textbook

02:32

Please do the following.(a) Draw a scatter diagram displaying the data.<…

01:49

Find the area under the standard normal curve between $z=-1.83$ and $z=1.23,…

In the least squares line $\hat{y}=5+3 x,$ what is the marginal change in $\…

01:30

Critical Region Method: Testing Proportions Solve Problem 11 using the criti…

00:59

The admissions office wants to estimate the cost of textbooks for students a…

02:21

Explain the difference between a point estimate and an interval estimate.

01:31

A working knowledge of statistics is very helpful when you want to understan…

06:19

Find the area under the normal curve that lies between the following pairs o…

06:44

Let $x=$ boiler steam pressure in $100 \mathrm{lb} / \mathrm{in}^{2}$ and le…