3r² 1. The radius R of a certain disk is a continuous random variable with pdf fr(r) = (a) What is the probability that 3 < R <4? 125' (b) Find and simplify a formula for the cdf Fr(r) of the random variable R. (c) What is the expected value E(R)? (0,0) where 0 < R < 5. R (R, 0)

MATLAB: An Introduction with Applications
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solve part d). Thank you

(d) What is the expected area of the disk of radius R? (Think about this carefully!)
Transcribed Image Text:(d) What is the expected area of the disk of radius R? (Think about this carefully!)
3r²
1. The radius R of a certain disk is a continuous random variable with pdf fr(r) =
(a) What is the probability that 3 < R <4?
125'
(b) Find and simplify a formula for the cdf Fr(r) of the random variable R.
(c) What is the expected value E(R)?
(0,0)
where 0 < R < 5.
R
(R, 0)
Transcribed Image Text:3r² 1. The radius R of a certain disk is a continuous random variable with pdf fr(r) = (a) What is the probability that 3 < R <4? 125' (b) Find and simplify a formula for the cdf Fr(r) of the random variable R. (c) What is the expected value E(R)? (0,0) where 0 < R < 5. R (R, 0)
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