probability density function of f(x)= (1/x ln(1.5)),  4<=x<=6 and f(x) = 0 elsewhere. What is the expected value of this random variable? What is the median of this random variable?

Q: therwiSe Is this a proper density function of a continuous random variable?

A:

Q: Consider a tandom variable X with the following probability density function f(x) = a,x > 2 which is…

A:

Q: Consider a random variable X with probability density function f (x) given by for 1 < x < 3 f(x) =…

A: From the given information, let X be a random variable then the probability density function of X…

Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x;  0

A: Given: f(x) = 5-5x

Q: The lifetimes X and Y (in years) of two machine components have joint probability density (5 – x –…

A:

Q: What is the moment generating function of the random variable X whose probability density function…

A: Given X~exp(1)

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A: The probability density function of X is obtained below: f(x)=0.5e-0.5x;x≥0 where x is a random…

Q: A random variable X has the probability density function f(x) = e* on it support [0,z]. What is its…

A:

Q: After years of testing, Duracell has developed the probability density function p(x) = 0.08e 008x…

A:

Q: For the continuous random variable with probability density function: sin(x), 0≤x≤ f(x) =< 2 0,…

A: For finding median through probability density function we use: ∫0Mf(x).dx = 12 M: Median value

Q: Find the expected values of continuous random variables with probability density function, f(x)=…

A:

Q: A random variable X has the density function: 0<x<1 fx(x) = {6 (2 – x) 1<x< 2 otherwise 11 If the…

A:

Q: The probability density function of a random variable X is given by 0<x<1 f (x) = {2-x l<x<2…

A: I have shown all the steps   Area below lower bond is 0.125 using Chebyshev's theorem

Q: Suppose that the lifetime X (in hours) of a certain type of flashlight battery is a random variable…

A:

Q: Let the density function of random variable x be given by fx(x) =0x^0-1, 0<x<1 Suppose x1, x2.. Xn…

A: Given,

Q: Consider a random variable X with probability density function given by 0.2 for 1 < x < 2 for 2 < x…

A:

Q: Consider a random variable X with probability density function given by 0.2 for 1 < x< 2 for 2 < x <…

A:

Q: 2) Let X be a continuous random variable with Probability density function f(x) = x + 0<x<1…

A:

Q: If X has an exponential distribution with parameter 0, use the distribution function techniques to…

A:

Q: Let (X, Y) be bivariate random variables having joint probability density function as f(x) = {;x +y)…

A:

Q: ) Find the mean and standard deviation of the random variable whose probability density function is…

A:

Q: Suppose that a study of a certain computer system reveals that the response time, in seconds, has an…

A: Given :  Exponential distribution with density curve : f(x) = 13×e-x3   ; x&gt;00               ;…

Q: Consider a probability density function for a random variable X, defined by for 1 < x < 3 f(x) = 16…

A: The probability distribution of a discrete and continuous random variable is known by the name as…

Q: A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is…

A: Expected value of a continuous random variable:Continuous random variable:If the variable X takes…

Q: A continuous random variable has the probability density function of f(x)=0.0118x and the interval…

A:

Q: A random variable X has the cumulative distribution function probability density function F(x) = e*…

A: Given that, a random variable X has cdf:- F(x) = ex ,      [0, z ]

Q: A continuous random variable X has probability density function fx (x) given by fx(x) = k (2 – x)(x…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(k mean and…

Q: Let X be a random variable with cumulative distribution functic given by: F(x) = 1 – e-Az Find the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A random variable X has the probability density function (pdf) shown in he figure below. fx (2)

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 5. If the probability density function of a continuous random variable X is (cz" 0<x<1 f(r) =…

A:

Q: A company that makes rice cookers performed some quality control experiments, and found that the…

A: The probability density function f(x)=0                             x&lt;014xe-x2…

Q: the probability density function for a uniform distribution on the interval [1, 5] equals:

A: Let X follows Uniform(a = 1, b = 5)

Q: A continuous random variable X has probability density function fx(x) given by fx(x) = k (2-x)(x -…

A:

Q: The probability density function of a random variable X is given by 0<x<1 f(x) = {2–x 18x<2…

A:

Q: A random variable X has probability density function for 0 < x < 2, 4 f(x) = { +(2x –- 3) for 2 < x…

A: Given:

Q: If the probability density function of the random variable X is given by 0<x<1 f(x)={x otherwise

A:

Q: Find the cumulative distribution function of the random variable X whose probability density is…

A: As the graph given above in question: It is clear that fx≥0, for all x∈ℝ. So,…

Q: A random variable X has a uniform distribution in the interval [4, b] and the probability density…

A:

Q: A random variable X has probability density function given by for 1 < x < 3 f(x) = otherwise.…

A: Given probability density function ,fx=14x for 1≤x≤30  otherwise

Q: If X = ln Y has a normal distribution with the mean μand the standard deviation σ, find the…

A: Normal Distribution pdf is given by ,  It is given that ,  X = ln Y  that is ,  Consider , Using…

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A:

Q: The continuous random variable X has the probability density function (pdf) given by: 5<x<6…

A: We have been given the pdf as, f(x) = k+5+x       5&lt;x&lt;60                  otherwise Since it…

Q: The time a randomly selected student spends completing a one-hour test is a random variable with…

A:

Q: The continuous random variable X has the probability density function (pdf) given by: [k-5+x S(x) =…

A:

Q: Suppose the lifetime (in years), Y, of a mechanical component is an exponential random variable with…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: While taking a walk along the road where you live, you accidentally drop your glove, but you don't…

A: That you dropped it within 1 kilometer of home this means 0≤x≤1We have to find the probability…