A random variable X takes values between and 3 with a probability density Iunction 15+x f(x) = 64 -2 sxs0 3 f(x) =+cx, Osxs3 and f(x) = 0 elsewhere. Find the value of c and sketch the probability density function. b. What is P(-1

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. A random variable X takes values between –2 and 3 with a probability density function
15+x
f(x) =
-2 sxs0
64
f(x) =
3
+c x, OsxS3
and f(x) = 0 elsewhere.
Find the value of c and sketch the probability density function.
b. What is P(-1<X<1)?
a.
с.
Construct and sketch the cumulative distribution function.
Transcribed Image Text:5. A random variable X takes values between –2 and 3 with a probability density function 15+x f(x) = -2 sxs0 64 f(x) = 3 +c x, OsxS3 and f(x) = 0 elsewhere. Find the value of c and sketch the probability density function. b. What is P(-1<X<1)? a. с. Construct and sketch the cumulative distribution function.
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