The time X, in hours, from the production time of a dairy product until it is safe to consume is a random variable with distribution function

with ???? = 20, ???? = 100.
(i) Find the density function of X.
(ii) What is the percentage of products of that type that become unsafe to use between 98 and 102 hours after production?
(iii) If we select five such products at random, what is the probability that all five of them are safe to consume 105 hours after their production?
(iv) The company that produces this product wants to estimate the value q, in hours, such that the probability a new product is safe to consume after q hours is 0.99. Find the value of q. (Such a value is called the 99th percentile of the distribution F.)

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0, t <0, F(t)= 1-e-/), 0,