Random Variables & Probability Distributions

Tick all the correct examples of discrete variable.

• Number of views of a YouTube video

• Time taken to commute to work

• Amount of people vaccinated in a state

• Number of smart devices in a house

• Area of a refinery plant

What is the term used for the set of all possible outcomes in an experiment?

• Random Variable

• Variable

• Statistics

• Sample Space

Tags

CCSS.HSS.CP.A.1

If  $P\left(X=x\right)=\frac{x}{10}$ , what are the possible values of X for it to be a valid probability distribution? 

• 2, 4, 5

• 0, 1, 2, 3

• 1, 2, 3, 4

• 3, 5, 6

Which descriptions are true for a Binomial distribution?

• There can be only two possible outcomes in each trial.

• The number of successes in the trials is counted.

• All trials are dependent on each other.

• The probability for each outcome must be 0.5

A rental car service center company has 5 cars available for rental each day. Assume that each car is rented out for the whole day and that the number of cars rented out each day is randomly distributed with a mean of 2. Find the probability that only one car is rented out on any one day. This is _______ distribution.

• Bernoulli

• Binomial

• Poisson

• Normal

What is the the total area under the standard normal distribution curve?

• 100

• 50

• 0.5

• 1