1.5.8. Suppose the random variable X has the cdf { 0 x+2 4 1 F(x) x<-1 −1≤ x < 1 1 ≤ x.| Write an R function to sketch the graph of F(x). Use your graph to obtain the probabilities: (a) P(− ½ < X ≤ ½⁄); (b) P(X = 0); (c) P(X = 1); (d) P(2 < X ≤ 3).

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The first pic is the question. The second is the solution. I want the steps and intuition of why the solution is like this.

1.5.8. Suppose the random variable X has the cdf
F(x) =
0
x+2
4
1
x<-1
−1≤ x < 1
1 ≤ x.|
Write an R function to sketch the graph of F(x). Use your graph to obtain the
probabilities: (a) P(−1 < X ≤ ½); (b) P(X = 0); (c) P(X = 1); (d) P(2 < X ≤ 3).
Transcribed Image Text:1.5.8. Suppose the random variable X has the cdf F(x) = 0 x+2 4 1 x<-1 −1≤ x < 1 1 ≤ x.| Write an R function to sketch the graph of F(x). Use your graph to obtain the probabilities: (a) P(−1 < X ≤ ½); (b) P(X = 0); (c) P(X = 1); (d) P(2 < X ≤ 3).
1.5.8 For the plot download ex158.R
(a), (b) 0, (c), (d) 0.
Transcribed Image Text:1.5.8 For the plot download ex158.R (a), (b) 0, (c), (d) 0.
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