Question

Which of the following situations can be modeled by a continuous random variable? Choose ALL that apply.




The number of baskets made during a game.



The temperature in your city on August 1.



The height of a randomly-selected student.



The number of sunny days in May.

Answer 1

So for a continuous function, we want is to that if you pick any two numbers (a) and (b), there is always a number inbetween them, no matter what you pick.

Let's go through each of them.

"The number of baskets made during a game."

So the baskets might go from.. 2,3,4,5,6.. like that (from the natural numbers). Is there a quantity of baskets here between 2 and 3 for example?

Answer 2

no?

Answer 3

@unknownunknown

Answer 4

Correct. So it can't be A.

How about for B? If you pick any two temperatures, is it possible for another temperature to exist between them? Say between 32.3 degrees, and 32.4 degrees?

Answer 5

I think so

Answer 6

Great! (for example: 32.35 degrees would be between them). So B is an answer.

What about C do you think?

Answer 7

Yes there could be number inbetween for c.

Answer 8

Let's say.. one student is 5'3. And the next tallest student is 5'7. Is there any student inbetween those two two heights?

Answer 9

no

Answer 10

That's right. Just to clarify for B: Even if we only measure 32.3 degrees, and 32.4 degrees. In order for the temperature to change from 32.3 to 32.4, it had to move through an infinite amount of very small numbers right?

With the height, that isn't the case. If any function moves from one point to another via an infinite number of points, it is continuous.

Answer 11

So B is the only answer?

Answer 12

Exactly, well done.

Answer 13

Well
c.r.v = uncountable things (we cant easily find the exact no) example :Height of buildings in the city
d.r.v. = countable things. Example: No of students in a class

Answer 14

@Upinlamecity look that for more knowledge :)

Answer 15

@rvc is the answer B. Because that's what I got before but I want to make sure?

Answer 16

@rvc

Answer 17

i think B and C

Answer 18

okay thank you!!!