Question

You have collected data on observations of a random variable of interest. You are considering using the exponential distribution to model this event. What are two things you can use to graphically justify this?

You have collected data on observations of a random variable of interest. You are considering using the normally distribution to model this event. What are two things you can use to graphically justify this?

Answer 1

Normal distribution :

The shape of a normal distribution curve is similar to a Bell.

The mean is at the middle and divides the area into halves.These two halves are symmetric to each other.

Normal distributions are defined by two parameters, the mean () and the standard deviation ().

Exponential distribution :

This distribution doesn't have any shape parameter as it has only one shape that is the exponential, and the only parameter it has is the failure rate, .

The exponential distribution is always convex and is stretched to the right as (constant rate, in failures per unit of measurement) decreases in value.