exam Maths Puzzle Numerical Ability

-(2y-6)+10

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exam Other Question

Let F(x)=1-exp(alpha*x^bita) for x>=0, alpha>0. bita>0 and F(x)=0 otherswise. Show that F is a cdf and find the corresponding density. Find the Integers that fit the following conditions:
They are between 44 and 53
The sums of their digits are prime
They have more than three factors