A random variable X has probability distrībution defined as follows. kx x= 1, 2,3,4, 5, P(X =x) =10 otherwise, where k is a constant. (a) Show that P(X= 3) = 0.2. (b) Show in a table the values of X and their probabilities. (c) Two independent values of Y are chosen, and their total Tis found @ Find P(T=7). (i) Given that T= 7, determine the probability that one of the values of Xis 2.

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A random variable Xhas probability distrībution defined as follows.
P(X = x) =
Jkx x = 1, 2,3,4, 5,
1o otherwise,
where k is a constant.
(a) Show that P(X= 3) = 0.2.
(b) Show in a table the values of X and their probabilities.
(c) Two independent values of X are chosen, and their total Tis found.
() Find P(T= 7).
(i) Given that T= 7, determine the probability that one of the values of Xis 2.
Transcribed Image Text:A random variable Xhas probability distrībution defined as follows. P(X = x) = Jkx x = 1, 2,3,4, 5, 1o otherwise, where k is a constant. (a) Show that P(X= 3) = 0.2. (b) Show in a table the values of X and their probabilities. (c) Two independent values of X are chosen, and their total Tis found. () Find P(T= 7). (i) Given that T= 7, determine the probability that one of the values of Xis 2.
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