Q2W8 Random Variables Basic

Determine which of the following distribution is NOT a probability distribution. (Remember that a valid probability distribution must add up to 1)

• A

• B

• C

• D

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Identify whether the experiment involves a discrete or a continuous random variable.

Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red

• Discrete Random Variable

• Continuous Random Variable

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Identify whether the experiment involves a discrete or a continuous random variable.

Collecting data about the mileage per liter of a certain brand and model of a car

• Discrete Random Variable

• Continuous Random Variable

Which one of the following is a discrete random variable?

• The height of Zoe

• The weight of Anika

• The time William runs the 110m hurdles

• The number of siblings Zoe, Anika, and William have

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

Which of the following means "trapping less than 2 mice?"

• X<2

• X<3

• X>2

• X>2

Choose the correct examples of discrete variable.

• A film critic's rating of a film (0 - 4 stars)

• The sum of the numbers rolled on a pair of dice

• Time taken to commute to work

• Winning ticket number drawn from a raffle

• Amount of gasoline a car

If you are running in a race and you pass the person in second place, what place are you in?

• First place

• Second place

• Third place

Tags

CCSS.5.NBT.A.2

The probability of each value of the random variable must be________?

• between 0 and 1 inclusive

• any whole number as long as it is less than 1

• more than 0 and less than 1

• none of the above

What is the difference between a discrete random variable and a continuous random variable?

• A discrete random variable takes all values in an interval of numbers while a continuous random variable has a fixed set of possible values with gaps between.
• A discrete random variable has a fixed set of possible values with gaps between while a continuous random variable takes all values in an interval of numbers.
• A discrete random variable takes only negative numbers while a continuous random variable takes both positive and negative numbers.
• A discrete random variable takes both positive and negative numbers while a continuous random takes only negative numbers.