The probability density function of random variable X is f(x) =a) Find the probability that X > 0.5 0.4753b) Find the probability that 0.3 < X < 0.63 0.3423c) Find the expected value of X 0.4825d) Find the variance of X 0.0806✔e) Find the standard deviation of X 0.28385.X for 0 ≤ x ≤ 1 and 0 otherwise. Do computations using the R integrate function.19f) Find the probability that X is within 0.5 standard deviations of its expected valueg) In the following paste your R script for this problemb = integrate(h.lower=0,upper-1)$value#var(x)var = b-(a)^2print(var)#standard deviationsqrt(var)

a) The probability that X > 0.5 is 0.4753. b) The probability that 0.3 < X < 0.63 is…

Answered: 19 a) Find the probability that X > 0.5…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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Chapter1: Starting With Matlab

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19 a) Find the probability that X > 0.5 0.4753 b) Find the probability that 0.3 < X < 0.63 0.3423 c) Find the expected value of x 0.4825 d) Find the variance of X 0.0806 e) Find the standard deviation of X 0.2838 f) Find the probability that X is within 0.5 standard deviations of its expected value