The random variable X has a distribution given by a distribution function: Fx(X) = 0 ; x<1           = 4/3(1-1/x2) ; 1<=x<=2           = 1 ; x>2 Find the distribution function and density of random variable Y=1/x Please be more specific in explanation, so I can better understand the topic.  Thanks!

Q: True or False;  For a continuous random variable X, P(X=x) = f(x) 1. True 2.False

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: X is a binomially distributed random variable with n= 10 and p= 0.25 Find the mean and variance…

A: Answer: From the given data, X follows binomial distribution, sample size (n) = 10 P = 0.25  and q =…

Q: A random variable x is normally distributed with a mean u = 213 and a standard deviation o = 8. Find…

A:

Q: 6. A random variable X is normally distributed with a mean μ. In the following diagram, the shaded…

A: Normal distributionThe normal distribution is the probability distribution for continuous data, and…

Q: X is random variable with a normal distribution having a mean of 3 and variance of 2. Find P ( X> 4)…

A:

Q: What distribution could be used to approximate a t-distribution with v=90 degrees of freedom?

A: degrees of freedom v=90

Q: • For a distribution the mean is 10, variance is 16, Y₁ is + 1 and B₂ is 4. Obtain the first Four…

A:

Q: When you are conducting the t test, the population does NOT need to be approximately normally…

A: one of the assumption for conducting t-test is that when you are conducting t-test the population…

Q: EX#2: Let x be a continuous random variable that is normally distributed with a mean of 25 and a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 25 and…

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given, Then x has a distribution that is approximately normal with mean = 62.0 kg and standard…

Q: With reference to Example 4, verify that the values ofthe distribution function are given by F(x) =…

A:

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: Introduction: Denote X as the waiting time during a meteor shower, to observe a shooting star. It is…

Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

A:

Q: What is the mean of the geometric distribution given by

A: It is given that, X is a geometric variate with its pmf, P(x)=3-x = P(x)=(1/3)x ; x=0,1,2,.... We…

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

A:

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: Denote X as the waiting time during a meteor shower, to observe a shooting star. It is given that X…

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Continuous random variable, x, comes from a normal distribution with = 2000 and 0 = 300. What value…

A:

Q: Time spent by students studying daily is a uniformly distributed random variable with mean = 136…

A: Solution: 1. Let X be the time spent by students studying daily. From the given information, X…

Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: The provided information is as follows:The  is exponentially distributed with the mean 3..The mean…

Q: The standard normal probability function is used to describe many different populations. Its graph…

A: The given data : fx=14πe-x23  Differentiate the above function with respect to x. f'x=14π×e-x23×-2x3…

Q: the time X that a lightbulb can last (life lenght) is a distribution with mean 1 year and standard…

A: The probability that the average life length of the lightbulbs is greater than 1.02 years is 0.3446,…

Q: If a random variable X ∼ Exponential(1). Find the distribution of Y = X/λ.

A:

Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

A:

Q: Students in a statistics course take their first exam and the class gets μ = 78.29 and σ = 4.63.…

A: The mean is 78.29 and the standard deviation is 4.63.

Q: The probability distribution of X, the number of imperfections for every 10 meters of a synthetic…

A: Solution-: Let, X-The number of imperfections for every 10 meters of a synthetic fabric  We have…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: For what model are the following expressions the cumulative probability distribution for response?…

A: Given that,  ξi= α+β1xi1+.......βkxik+εi Here α is the intercept. βi's are coefficients of Xi's.  εi…

Q: function: F(x) = 0 ; x 6 Count the value of constant "c" Count the P(X > 4) and P(5 <= X <= 6)…

A:

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: Which statement is true about these 2 distributions? set A 01 2 3 4 5 6 7 8 9 10 set B ● 0 1 2 3 4 5…

A: The dot-plots of the distribution are given as follows: