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Unformatted text preview: ....................................................................................................................... ............................................................................................................................................... (Total 6 marks) 535 779. The random variable X has a Poisson distribution with mean 4. Calculate (a) P(3 ≤ X ≤ 5); (b) P(X ≥ 3); (c) P(3 ≤ X < 5X ≥ 3). ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (Total 6 marks) 536 780. Let f(x) = x+4 x−2 , x ≠ –1 and g(x) = , x ≠ 4. Find the set of values of x such that x +1 x−4 f(x) ≤ g(x). ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... .............
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