For a continuous random variable X P20 leq X leq 65 035 and

For a continuous random variable X, P(20 leq X leq 65) = 0.35 and P(X > 65) = 0.19. Calculate the following probabilities. a. P(X

Solution

a)

P(X<65) = 1 - P( X >65) = 1 - 0.19 = 0.81
b)

P( X <20) = 1 - P(20 <= X <=65) - P(X>65)

= 1- 0.35 - 0.19

= 0.46

c)

P(X=65) = 0

since for continous random variable the probability at a given point is zero