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9.01 Continuous random variables

Interactive practice questions

At the beginning of the year, a teacher seats his students alphabetically to learn their names quickly.

a

Can we use a probability distribution to model where a particular child will sit in the class?

No

A

Yes, a discrete probability distribution

B

Yes, a continuous probability distribution

C
b

Which of the following explains why a probability distribution doesn’t exist for this situation?

The outcomes are not random.

A

The outcomes are not variable.

B
Easy
< 1min

A manager randomly selects four people from his Sales team and two people from his Development team to attend a leadership conference.

Easy
< 1min

A manager randomly selects three of his staff to attend a leadership conference. He randomly selects people from his Sales team and his Development team.

Medium
< 1min

The traffic signal at a particular pedestrian crossing remains red for $3$3 minutes.

Frank arrives at the pedestrian crossing to find that the light is currently red.

Medium
< 1min
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Outcomes

4.4.1.1

use relative frequencies and histograms obtained from data to estimate probabilities associated with a continuous random variable

4.4.1.2

understand the concepts of a probability density function, cumulative distribution function, and probabilities associated with a continuous random variable given by integrals; examine simple types of continuous random variables and use them in appropriate contexts

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