The random variable $$\(X\)$$ takes each of the values $$\(1,2,3,4\)$$ with probability $$\(\frac{1}{4}\)$$. Two independent values of $$\(X\)$$ are chosen at random. If the two values of $$\(X\)$$ are the same, the random variable $$\(Y\)$$ takes that value. Otherwise, the value of $$\(Y\)$$ is the larger value of $$\(X\)$$ minus the smaller value of $$\(X\)$$. Draw up the probability distribution table for $$\(Y\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_w20_qp_51 Year:2020 Question No:4(a)
Answer:
Knowledge points:
5.3.2 use addition and multiplication of probabilities, as appropriate, in simple cases (Explicit use of the general formula is not required.)
5.4.1 draw up a probability distribution table relating to a given situation involving a discrete random variable X, and calculate E(X) and Var(X)
Solution:
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