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3.A garage is supplied with petrol every Monday morning and its weekly sales in thousands of liters is a random variable X whose probability density

3.A garage is supplied with petrol every Monday morning and its weekly sales in thousands of liters is a random variable X whose probability density function f is given by () = 3 125 (5 ) 2 , 0 < < 5

(i) Find the probability that the garage's sales in a week will be less than 3000 liters.

(ii) Compute the probability that the garage will not be able to meet the demand in a week given that the capacity of its supply tank is 4000 liters.

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