Given X is a continuous random variable on [1,5] Find P(1<X<5).

Answer 1

1

As a continuous random variable has 0 probability of any particular value, P(1) = P(5) = 0, and X is defined on [1,5], P(1 <= X <= 5) = 1, Therefore, P(1 < X < 5) = 1 - 0 = 1