Module 7: Continuous Random Variables & Continuous Probability Distributions - Part 1

Question 1

Continuous random variables

Answer 1

Weight, height, temperature, time

Question 2

Exponential distribution

Answer 2

Used to predict the waiting time between successive events in a poisson process

Question 3

Random variables

Answer 3

A variable that takes its value according to a chance process (an experiment)

Question 4

Discrete random variable

Answer 4

Has countably many outcomes

Question 5

Continuous random variable

Answer 5

Has uncountably many outcomes

Question 6

Continuous uniform distribution

Answer 6

Used when we want an equal amount of probabilities for X taking on values in equal-length intervals = X~Unif (a,b)

Question 7

Poisson distribution (discrete)

Answer 7

Used to count the number of times an event occurs, independently of other times the event occurs, in a fixed interval of time and/or space

Question 8

The exponential distribution

Answer 8

The waiting time between events