The exponential-logarithmic (EL) distribution is defined by two parameters p = (0,1) and > 0 with...

  

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The exponential-logarithmic (EL) distribution is defined by two parameters p = (0,1) and > 0 with the following cumulative distribution function: F(x)=1-In(1-(1-p)e-Bx) In(p) for x 0 a. Suppose process time follows the EL distribution with p = 0.1 and = 1 per min. What is the probability that process time is less than 30 seconds? b. What is the quantile function of the EL distribution? The exponential-logarithmic (EL) distribution is defined by two parameters p = (0,1) and > 0 with the following cumulative distribution function: F(x)=1-In(1-(1-p)e-Bx) In(p) for x 0 a. Suppose process time follows the EL distribution with p = 0.1 and = 1 per min. What is the probability that process time is less than 30 seconds? b. What is the quantile function of the EL distribution?