Let X have the probability density function -2
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A: The cumulative distribution fu⁸nction of X is defined as F(x) = P(X ≤ x)
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A: It is an important part of statistics. It is widely used.
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A: a)Mean= -1 , Standard deviation = 2
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- Suppose that X is a discrete random variable with the probability mass function given by: where i = 1,2,3 .8 36 a) Plot p(x) b) Compute and plot F(x) c) Compute (i) P (2.9999assume that X is normally distributed with a mean 160 and standard deviation of 45. find the probability that (A) x is less then 159 and (B) x is grater then 160The probability function of a continuous random variable, X, is given by the equation: fx(x) = 0.0064x(25-x²) for 0 < X < 5 Draw plots of both the pdf and the cdf of X.Q1. Suppose X is a continuous random variable. Find an example of a probability density function for X giving expected value E(X) = 1 and variance V (X) = 3 if X has . . . (a.) a uniform distribution. (b.) an exponential distribution. (c.) a normal distribution. In each case, if there is no such probability density function, explain why this is so.Find the characteristic function of X² when X has the N(u, o²) distribution.الموافق foo an exponentiaL distribution fx Cx jt) e.w. where u>o Write (Dankderive) meancespedoed V9lue) f.eECx)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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