(a) Let X be a discrete random variable with probability mass function p(x) and cumulative distribution function F(x). T

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(a) Let X be a discrete random variable with probability mass function p(x) and cumulative distribution function F(x). T

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A Let X Be A Discrete Random Variable With Probability Mass Function P X And Cumulative Distribution Function F X T 1
A Let X Be A Discrete Random Variable With Probability Mass Function P X And Cumulative Distribution Function F X T 1 (40.67 KiB) Viewed 136 times
(a) Let X be a discrete random variable with probability mass function p(x) and cumulative distribution function F(x). The values of the probability mass function are given in the table below: x 1 23 45 p(x) 0.1 0.2 0.3 0.1 a (i) Find the value of a. a = [5marks] (i) Find the probability P(X < 5) = (5 marks] (ii) Find the probability P(X + 4) = [5marks] (iv) Find the value F(3) = [5 marks] (v) Find the value F(2.9) = [5marks] (b) Let X be a discrete random variable with probability mass function given in the table below: a

x 3 4 5 6 |p(x)| k1|0.2 0.1 (i) Find the value of k +1. k+1 = [5marks] (ii) It is given that the expected value of X equals E(X) = 4. Find the value of I: 1 = [5marks]
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