Q7 A continuous random variable has probability density function (p.d.f) [x+1 f(x) = { -x+1 -1≤x≤0 0≤x≤1 Response S NS Calculate a. Draw the diagram of f(x), and then calculate the probability that x lies in a particular from - 0.5 to +0.5 (Integration approach ONLY); b. Calculate the expected value of x; C. Calculate the standard deviation of x.

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Q7
A continuous random variable has probability density function (p.d.f)
Calculate
f(x)=<
a.
x+1
-x+1
-1≤x≤0
0≤x≤1
Response
S
NS
Draw the diagram of f(x), and then calculate the probability that x lies in a particular from -
0.5 to +0.5 (Integration approach ONLY);
b. Calculate the expected value of x;
C. Calculate the standard deviation of x.
Transcribed Image Text:Q7 A continuous random variable has probability density function (p.d.f) Calculate f(x)=< a. x+1 -x+1 -1≤x≤0 0≤x≤1 Response S NS Draw the diagram of f(x), and then calculate the probability that x lies in a particular from - 0.5 to +0.5 (Integration approach ONLY); b. Calculate the expected value of x; C. Calculate the standard deviation of x.
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