A random variable X has a cumulative distribution function given by x≤5 F(x)=- x>5 Find the probability density function of X.

Q: A continuous random variable X has probability distribution function f(x) , where f(x) = k(1 − x2)…

A: The k value is calculated as follows:

Q: Consider two independent binomial experiments. In the first one, 86 trials had 51 successes. In the…

A: As per our guidelines we are suppose to answer only one question kindly post the remaining question…

Q: Find the mean of the random variable X with PDF S 3x² _if 0 <x < 1, f(x) = otherwise.

A: For the given random variable X, its pdf is

Q: A random variable x follows continuous uniform distribution on the interval [18,38]. Find the…

A:

Q: A travel agency is conducting an experiment, where they ask people in the street one-by- one whether…

A:

Q: The graph shows the probability density function for a car brand that has a mean fuel efficiency of…

A:

Q: The weekly demand for propane gas (in 100's of gallons) from a particular facility is a random…

A:

Q: A main-frame computer, that serves a network of terminals, is known to crash after an average of 44…

A:

Q: Suppose the probability density function of the length of computer cables is f(x) = 0.1 from 1200 to…

A: From the provided information, a) The mean can be obtained as:

Q: Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal…

A: The weight of passenger luggage follows a normal distribution.Population mean  Population standard…

Q: The random variable x is known to be uniformly distributed between 1.0 and 1.5.     Show the graph…

A: a. Show the graph of the probability density function of Uniform distribution. From the given…

Q: Give an example of a probability density function fx(x) whose associated continuous random variable…

A: Here, need to give an example of a probability density function fX(x) whose associated continuous…

Q: A particular pumping engine will only function properly if an essential component functions…

A: Probability density function is given by, f(x) = 0.02xe-0.01x^2  So, Probability that it will…

Q: Let X₁, X₂ be IID with \Exp(1), the standard exponential distribution. Show that Z = X₁/X₂ has an…

A: Let X1 , X2  be the iid random variable having exp(1) Then show that Z=X1/X2 has F distribution…

Q: 7. The cumulative distribution function of a random variable X is = - 1 − (1 + ��)�♦ −��, �♦ > 0.…

A: According to given question, we know that value of � is x because given question is "find the…

Q: 3- 3 f(r) = I = 0,1,2, 3.

A: We have given that  Number of trials n=3 Success of probability p=1/4=0.25 q=1 - p= 1 - 0.25 q=0.75…

Q: Let the probability density function of the random variable x be f(x) = { e^2x  if x≤0          {…

A:

Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4].   Determine the…

A:

Q: random variable X has a PDF f(x)=C(8*x−x^2) for 0<x<8, and is equal to 0 outside this range. (a)…

A:

Q: eight where the probability density function for the weight of passenger luggage is increa al Rule…

A:

Q: EZ = X +Y if X,Y are

A: X follows normal distribution with mean 0 and variance 1. Y follows normal distribution with mean 0…

Q: A continuous random variable X follows an exponential distribution with rate parameter λ = 0.5. What…

A: Given that,A continuous random variable  follows an exponential distribution.The rate parameter  is…

Q: We have a random variable X that is uniformly distributed on interval [-1,2]. Let Y = |X| - 1. We…

A:

Q: The random variable X has an exponential distribution: X ~ Exponential(0.2). Find the following:…

A: