For a continuous random variable X P28

For a continuous random variable X, P(28 < X < 72) = 0.26 and P(X > 72) = 0.2. Calculate the following probabilities. (Leave no cells blank - be certain to enter \"0\" wherever required. Round your answers to 2 decimal places.)

Solution

given

P(28<X<72)=0.26

P(X>72)=0.20

this gives P(X<72)=1-P(X>72)=1-0.20=.80

A)since X is continuous distribution so

P(X<72)=P(X<72)=0.80

B)

   P(X<28)=?

since P(28<X<72)=P(X<72)-P(X<28)=0.26

this implies

P(X<28)=P(X<72)-0.26=0.80-0.26=0.54

C)

as distribution is continuous

hence P(X=72)=0