In which probability distribution would a random variable XX have E(X)=λE(X)=λ?

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: S Suppose that the time (in hours) required to repair a machine is an exponentially distributed…

A: The distribution of the repairing time for the machine is specified to be distributed exponentially…

Q: 2Y 0 Show that has a x² distribution with 2 degrees of freedom.

A: Mean =θ ,

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

A: The probability density function of exponential distribution is given by

Q: According to studies, 1% of all patients who undergo laser surgery to correct their vision have…

A:

Q: When you make a phone call, the line is busy with probability 0.2 and no one answers with…

A: The objective of the question is to find the cumulative distribution function (F_W(w)), the…

Q: A fair 20-sided die is tossed. If X denotes the random variable giving the number on the bottom face…

A: Possible outcomes when a 20-sided die is thrown is :…

Q: Find the mean and variance of the uniform probability distribution given by f(x)= 1/n for x = 1, 2,…

A: The given uniform probability distribution is, f(x)= 1n    for x = 1, 2, 3,....., n The mean of…

Q: 2. You have two lightbulbs for a particular lamp. Let X = the lifetime of the first bulb and Y = the…

A: X and Y have exponentital distribution with parameters want to calculate the joint PDF of X and…

Q: 1. Find the value of c to make f (x) = x = 2, 3, 4 into a valid probability distribution. Enter…

A: Given, f(x)=cx2x-1                   x=2,3,4

Q: 4. If the random variable X has an show that for a > 0, b>0, exponential distrib f(x) = x/4, for x ≥…

A: For the random variable X~Exponential1λ, it is given that: fx=1λe-xλ, for x≥0

Q: Assume that an environmentally transmitted disease is introduced to a community. The proportions of…

A:

Q: The life X in months of a certain light bulb is a random variable with exponential density. What is…

A: The mean is 20.

Q: If the odds against R occurring are 1:7, then find P(R) and P(R'). P(R)= (Simplify your answer.)…

A: For the defined event R, the odds using the ratio against R occurring is given as: No. of…

Q: What is E(T) where is a Trandom variable with 17 degrees of freedom?

A: T random variable with 17 degree of freedom.

Q: A random variable X takes value 1 with probability and the value 2 with the remaining probability.…

A: The total probability of any probability distribution is always 1.

Q: The annual rainfall (in inches) in a certain region is normally distributed with µ = 40 and σ = 4.…

A: From the provided information,Mean (µ) = 40Standard deviation (σ) = 4

Q: Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random…

A: Given,F(X)=1-e-x3   ;  x≥0

Q: Suppose that the time. in days, required to repair a heat pump is a random variable X having a gamma…

A:

Q: If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson…

A: Here in this question given that, the number X of particles emitted during a 1 hour period from a…