Question: How to do b Q4. (a) The continuous random variable X has the probability density function f ( x ) = Jk(x- 3), 35x54, 10,

How to do b

Q4. (a) The continuous random variable X has the probability density function f ( x ) = Jk(x- 3), 35x54, 10, otherwise. Find the value of k. (3 marks) (b) A machine randomly generates 3 positive integers X,, X, and X, such that X, +X2+X, =180. Risman uses these integers as the three angles of a triangle. Given that X, =10, find the probability that the remaining two positive integers will be generated such that the resulting triangle will be an obtuse triangle. 90"

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