1. The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with probability density function

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1. The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with probability density function f(x) = Ce : 2 a. Determine the unknown value of constant c that density function is a valid density function. (2) b. Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function of X. (3+2)