6. Normal Distribution and Continuous Random Variables

Determine if each curve (in orange) is a valid probability density function (i.e. if the total area under the function = 1)

Determine if each curve (in orange) is a valid probability density function (i.e. if the total area under the function = 1)

Shade the area corresponding to the probability listed, then find the probability.

Shade the area corresponding to the probability listed, then find the probability.

Problems 11–14 use the information presented in Examples 1 and 2.  

a. Find the probability that your friend is between 15 and 25 minutes late.

Problems 11–14 use the information presented in Examples 1 and 2.  

b. It is 10 A.M. There is a 90% probability your friend will arrive within the next _______ minutes.

Problems 11–14 use the information presented in Examples 1 and 2.  

Find the probability that your friend is no more than 5 minutes late.

A continuous random variable X is uniformly distributed with 0 ≤ X ≤ 20.

a. Draw a graph of the uniform density function.