A few days ago
cumulative distribution function problem?
Suppose the cumulative distribution function of the random variable X is
F(x) = 0, x < -0.8 0.25x + 0.2, -0.8 <= x < 3.2 1, 3.2 <= x Determine the following: (a) P(X < 1.8) (b) P(X > -1.5)
(c) P(X < -2) (d) P(-1 < X < 1) Thanks for any help!
Top 1 Answers
A few days ago
Favorite Answer
remember that F(x) = P(X < x)
a) P(X < 1.8) = F(1.8) = 0.65
b) P(X > -1.5) = 1 – P(X < -1.5) = 1 - F(-1.5) = 1 - 0 = 1
c) P(X < -2) = F(-2) = 0
d) P(-1 < X < 1) = F(1) - F(-1) = 0.45 - 0 = 0.45
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