Question

1.Find the uniform probability distribution over the range (3<=x<=7; and make its graph

2.What is the types of probability distribution?(types of discrete and continuous)

Answer 1

Solution:

Here the uniform distribution is given by f(x) = 1 / (b - a +1) where a<=x<=b so here we have a = 3 and b = 7.

Hence Uniform distribution is given by f(x) = 1 / (7 - 3 + 1) = 1 / 5

The graph is given by

(b) The type of probability distribution used is descrete because we have descrete limits so we can map probabilities to descrete values between 3 <=x<=7 as shown in part a.

There is continuous uniform distribution which is having the distribution function as follows;

Best Luck !