7. i In this question you must show detailed reasoning. The random variable Yhas probability distribution defined as follows. 15 P(X= x) = 2" x = 2,3,4, 5, otherwise. 15 (a) Show that P(X=2) = The values of three independent observations of X are denoted by X,. X, and X (b) Given that I, +X, +X, =9. determine the probability that at least one of these three values equal to 2. %3D Freda chooses values of X at random until she has obtained X= 3 exactly three times. She th stops. (c) Detenmine the probability that she chooses exactly 10 values of X.

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She then stops 

i In this question you must sbow detailed reasoning.
The random variable Yhas probability distribution defined as follows.
2
* = 2,3,4, 5,
P(X= x) =
otherwise.
15
(a) Show that P(X=2) 3.
%3D
The values of three independent observations of X are denoted by X,. X, and X
(b) Given that I, +X, +X, 9. determine the probability that at least one of these three values
equal to 2
Freda chooses values of X at random until she has obtained r = 1 exactly three times. She the
%3D
stops.
(c) Determine the probability that she chooses exactly 10 values of X.
Transcribed Image Text:i In this question you must sbow detailed reasoning. The random variable Yhas probability distribution defined as follows. 2 * = 2,3,4, 5, P(X= x) = otherwise. 15 (a) Show that P(X=2) 3. %3D The values of three independent observations of X are denoted by X,. X, and X (b) Given that I, +X, +X, 9. determine the probability that at least one of these three values equal to 2 Freda chooses values of X at random until she has obtained r = 1 exactly three times. She the %3D stops. (c) Determine the probability that she chooses exactly 10 values of X.
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