Question

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.2 min.

P(X > 50.2) =

(Report answer accurate to 2 decimal places.)

Answer 1

Solution :

Let X be a length of professors class

X follow uniform distribution between 50 min and 52 min

i.e X ~ U ( a= 50 , b = 52 )

Where a & b are parameters of uniform distribution.

Let we know that cumulative distribution function of uniform distribution is;

We have to find

P( X>50.2 ) =  

From above

   = ( 50.2 - 50)/(52 - 50)

= 0.1

So

P(X > 50.2) = 1 - 0.1 = 0.9

p(X > 50.2) = 0.90