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The probability density function of t
f(t)=1+t. for -1≤t≤0
1-t. for 0≤t<1
We have to find the standard deviation :
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- ThanksThe continuous random variable XX has a probability density function (pdf) given by Part(d) Find Var(X), correct to 2 decimal places Part(e) Find the median of X, correct to 2 decimal places.Part(f) Find E(X), correct to 2 decimal placesSuppose X has a uniform distribution on the interval [−2, 3]. Find themoment generating function of X.The random variable X has probability density function defined by |2(1 – z²),0A study was undertaken to compare the average high-density lipoprotein (HDL) levels of normal and obese adults in a certain community. HDL levels of a random sample of adults from this community were measured (in milligrams per deciliter or mg/dL) and presented below. Assume that the HDL levels of both the normal and obese adults follow the normal distribution with unknown but equal population variances. Is there a significant difference between the average HDL levels of normal and obese adults? Use a 5% level of significance.Let X1, ... , X49 be a random sample of 49 independent and identically distributed uniform distribution random variables on the interval (0,1).Calculate the approximate probability: P(X > .52)A random variable X follows the continuous uniform distribution with a lower bound of - 7 and an upper bound of 16 What is the height of the density function f(x)? What are the mean and standard deviation of this distribution?A probability density function of a random variable is given by f(x) = expected value, the variance, and the standard deviation. The expected value is μ≈ Round to two decimal places as needed.) 1 1 = 5+ 111 on the interval [4, 25]. Find theplease helpLet X be a continuous random variable whose probability density function is: f(x)- 1.5x2 for -1SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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