Q1) Waiting time, in hours, between successive speeders spotted by radar unit is continuous random variable with cumulative distribution function
F(x) = 0, x < 0,
= 1 - e^(-8x) x ≥ 0.
Determine probability of waiting less than 12 minutes between successive speeders
i) By using cumulative distribution function of X.
ii) By using probability density function of X.