Stats 2035 Chapter 5 Notes

2 Pages
Unlock Document

Western University
Statistical Sciences
Statistical Sciences 2035
Histro Sendov

Chapter 5: Continuous Random Variables Continuous Probability Distributions  Continuous random variable: May assume any numerical value in one or more intervals  Continuous probability distribution: Assigns probabilities of intervals of values o Many businesses measures such as sales, investments, costs, and revenues can be represented by continuous random variables o Other names for a continuous probability distribution: probability curve, probability density function o The function f(x) is the continuous probability distribution of random variable X if P(a <= X <= b) = the area under the graph of f(x) between a and b. o Properties of f(x):  f(x) >= 0 for all x  The total area under the curve of f(x) is equal to 1  P(X = a) = P(X = b) since they are of a line is 0. So, P(a <= X <= b) = P(a < X < b)  Let x be the continuous probability distribution of random variable x o The points where f is non-zero are the possible values of the random variable X o P(a <= X <= b) = The area under the graph of f(x) between a and b o The proportion of population that is in [a,b] o Why is P(X = a) = 0? How can the proportion of the population that is equal to a be 0?  A population that has cont
More Less

Related notes for Statistical Sciences 2035

Log In


Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.