An irregular die is rolled. Let X be the number of pips on the top face. The Question 5 probability function (pf) of X, f(x) = P(X = x) is given by the following table: %3D 1 3 4 5 f(x) 0.25k2 0.15 0.2k 0.1 0.2k 0.1k (a) Find the value of k that makes this a valid probability function. (b) Graph the cumulative distribution function (cdf) F(x) = P(X < x) for all r.

MATLAB: An Introduction with Applications
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Question 5
probability function (pf) of X, f(x) = P(X = x) is given by the following table:
An irregular die is rolled. Let X be the number of pips on the top face. The
1
2
4
_f(x) | 0.25k²
0.15
0.2k
0.1
0.2k
0.1k
(a)
Find the value of k that makes this a valid probability function.
(b)
Graph the cumulative distribution function (cdf) F(x) = P(X < x) for all x.
Transcribed Image Text:Question 5 probability function (pf) of X, f(x) = P(X = x) is given by the following table: An irregular die is rolled. Let X be the number of pips on the top face. The 1 2 4 _f(x) | 0.25k² 0.15 0.2k 0.1 0.2k 0.1k (a) Find the value of k that makes this a valid probability function. (b) Graph the cumulative distribution function (cdf) F(x) = P(X < x) for all x.
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