Finding a probability density function A continuous random variable X, with mean unity, has probability density function fx (x) given by fa (b - x), 0sxsb, 1o, fx(x) = otherwise. Find the values of a and b.
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- continuous random variable has probability density function given by F(x) =k(2x+3) 1<=x<=2 0 ,otherwise Find k if f(x) is a probability density functionFind Value of k P(1.5<=x<=4) ?Probability density function of the random variable X (pdf) fX(x) = ( c(1 − x2) −a ≤ x ≤ a ( 0 d.y get given in the form. Event |X − b| < a/2 defined as. variables a, b to probability rules randomly give the appropriate values. After determining the values of a, b; Under the condition A of the random variable X Find the probability density function.The probability density function of the X random variablelike this.a. The probability of a random variable U defined as U = X^2Find the density function.b. V = 1/X Find the probability density function of the random variable V defined as.
- Probability Model If the probability density of a random variable is given by F(x)= x, 2-x,0 for 0<x<1, for 1≤x<2 , elsewhere Find the probabilities that a random variable having this probability density will take on a value Between 0.2 and 0.8;(b) 0.6 and 1.2The pdf (probability density function) for the CONTINUOUS random variable X is given as: f(x) = { (1/5)e^(-x/5); x>0 ] 0; elsewhere a. Show that f(x) satisfies the properties for a pdf. b. Find the CDF of X. c. Find P (x ≥ 5) using pdf and CDF.The random variable X has a uniform density function over the interval [-1, 1]. a. Sketch the probability density function of X. Find the mean and variance of X .
- Finding Probabilities in Uniform Distributions The time it takes me to wash the dishes is uniformly distributed between 9 minutes and 15 minutes. The probability density function is f(x)=16f(x)=16.What is the probability that washing dishes tonight will take me between 12 and 13 minutes?Give your answer accurate to two decimal places.A continuous random variable X has the probability density function f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find the expected value of XA continuous random variable X has the probability density function f(x) so that f(x) is 0 for x≤≤≤≤0; f(x)=x for 0<x ≤ 1; f(x)= 2-x for 1<x≤ 2 and f(x) = 0 for x>2. Find the probability that X is at most 1/4.
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