Question
A random variable X takes values between -2 and 3 with a probability density function
15
+ -
if - 2sx s0
64
64'
f(x) ={
3
+ cx,
if 0<xs3
elsewhere
(a) Find the value of c and sketch the probability density function.
(b) FIND P(-1 sX s 1),
(c) FIND E(X)and v(X).
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Transcribed Image Text

A random variable X takes values between -2 and 3 with a probability density function 15 + - if - 2sx s0 64 64' f(x) ={ 3 + cx, if 0<xs3 elsewhere (a) Find the value of c and sketch the probability density function. (b) FIND P(-1 sX s 1), (c) FIND E(X)and v(X).

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Probability Distributions

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