A biased die with five faces is rolled. The discrete random variable Y represents the score which is uppermost. The cumulative distribution (cdf) is shown in the following table. Y:y F(y) = Pr(Y

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A biased die with five faces is rolled. The discrete random variable Y represents the score
which is uppermost. The cumulative distribution (cdf) is shown in the following table.
Y:y
F(y) = Pr(Y < y)
1
2
3
4.
k1
0.2
0.6
0.7
%3D
k2
(i)
(ii)
Provided that Pr(y = 2) = 0.2, find the value of k, and k2.
Sketch F(y).
%3D
%3D
(iii)
Construct the pmf of Y and sketch it.
Transcribed Image Text:A biased die with five faces is rolled. The discrete random variable Y represents the score which is uppermost. The cumulative distribution (cdf) is shown in the following table. Y:y F(y) = Pr(Y < y) 1 2 3 4. k1 0.2 0.6 0.7 %3D k2 (i) (ii) Provided that Pr(y = 2) = 0.2, find the value of k, and k2. Sketch F(y). %3D %3D (iii) Construct the pmf of Y and sketch it.
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