Probability Distributions

Find P(X < 5)

• 0.2

• 0.3

• 0.5

• 0.7

Find the value of q

• 0.85

• 0.15

• 0.25

• 0.05

Find P(X ≤ 5)

• 0.2

• 0.3

• 0.5

• 0.7

Find the value of a

• ¹/₂

• ¹/₄

• ¹/₅

• ¹/₁₀

A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 

X P(X)

0 0.24

1 0.27

2 0.20

3 0.11

4 0.05

5 0.03

What is the probability that a randomly chosen household has at least two cars?

• 0.20

• 0.29

• 0.39

• 0.61

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

Find P( X = 4).

• 1.00

• 0.91

• 0.02

• 0.07

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

Recording number of medals that the Philippine team won in each of the past 20 Olympic games

• Discrete Random Variable

• Continuous Random Variable

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

Measuring the distance travelled by different cars using 1-liter of gasoline

• Discrete Random Variable

• Continuous Random Variable

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes