A random variable X follows a gamma distribution having a mean of 384 and a CoV of 0.316. What is the value of the PDF, fy(x), when x = 337?

Q: Suppose that the time X between two phone calls to a travel agency is an exponential random variable…

A: Given,A random variable X ~exponential (λ=1.5)f(x)=1.5e-1.5x  ; x≥0

Q: Let X be a random variable with mean E[X] = 20 and variance Var(X)= 3. Define Y = 3 - 6X. Calculate…

A: We have given that, Let X be a random variable with mean E[X] = 20 and variance Var[X] = 3   We know…

Q: Your company uses a very expensive machine to manufacture nuclear fuel rods.  The production process…

A: From the given information, the average of 3 milliards of radiation/week is emitted during the…

Q: The time to repair of an equipment follows a lognormal distribution with a MTTR of 2 hours and a…

A:

Q: An article reports measurements of the total power, on the log scale, of the heart rate variability,…

A: Let x denote the group of patients aged 25-49and y denote the group of patients aged 50-75The…

Q: O a. E(X) = 0.333, SD(X) = 0.111 O b. E(X) = 0.333, SD(X) = 0.333 O c. E(X) = 3, SD(X) = 3 O d. NONE

A: Given :   λ = 3

Q: Suppose that X ~ Pareto(y). Define Y = In(X+1). If E[X] = , then what is the variance of Y? %3D %3D

A: For X~Pareto(γ), if x∈(0,∞) then the probability distribution function(pdf) of X is given by…

Q: A voltage X follows a normal distribution with mean 1 and variance 4. Find the pdf of the power…

A:

Q: 5. Let X have the pdf {(x + 1) -1 <x < 1 f(x) = elsewhere. Find the mean and the variance of X.

A: 5. The given pdf is, fx=12x+1       -1&lt;x&lt;10                   elsewhere

Q: On an exam with a mean of M = 98, you obtain a score of  X= 90. Would you prefer a standard…

A: It is not known whether the distribution of the score is symmetric or not. Hence ,we cant use…

Q: A random sample of size n = 17 is taken from a lognormal distribution with parameters u = 1.6 and o…

A:

Q: Q1: Lifetimes of a certain component are lognormally distributed with parameters p = 1 day and o =…

A: Given: μ = 1 and  σ= 0.5 The mean lifetime of these components is computed as, Mean=eμ+σ22…

Q: E and F are independent variables with variances of 7 and 9, respectively. Given this, Var(2E - F +…

A:

Q: Suppose that the pdf of a random variable is given by f(y)=1/10 , -5<y<5 For what value of y does…

A: It is given that, the pdf of a random variable is given by f(y)=1/10, -5&lt;y&lt;5

Q: A scientist suspects that as a person’s stress level changes, so does the amount of his or her…

A: Given that, A scientist suspects that as a person’s stress level changes, so does the amount of his…

Q: (i) the maximum value of p.d.f. (ii) expectation of X, E(X) (iii) variance of X.

A:

Q: A house had 3,500 square feet of living space. Approximately how many square meters of living space…

A:

Q: Find the mean and variance of the r.v. X if it has p.m.f. P(X=1)=0.2 , P(X=2)=0.3 and P(X=3) = 0.5 ?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Corey scores X = 70 on his first exam, for which the entire class scored a mean of µ = 78 and…

A: From the given information, let X be the Corey’s score on his first exam. X = 70. Mean score of the…

Q: Based on this sample, plausible values of u, the true mean annual cosmic radiation exposure for all…

A: xbar = 3.07 sigma = 0.35 n = 100  z = 1.645

Q: Let I be an indicator variable with p(I) = {p , I=1 } {1-p , I=0}. Show that the variance of I is…

A: The mean is calculated as follows: EI=∑I×PI=1×p+0×1-p=p

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105μ=105…

A: Solution: It is given that adults have IQ scores that are normally distributed with a mean of 105…

Q: 2. Let X represents the lifetime of water turbine in years. The lifetime of the turbine is a random…

A: f(x)=ke-0.5x ; x&gt;0

Q: The time that it takes for the next train to come follows a Uniform distribution with…

A:

Q: Suppose f(x) = 0.20 for 0 <x < 5. Determine the mean and variance of X.

A: The objective is to find mean and variance

Q: The Flemish breed of rabbits have an average weight of 3600 grams. The Himalayan breed has a mean of…

A: Given F1=162 Gram F2=230 Grams Find Average contribution of each

Q: The test scores of communication engineering class with 900 students are distributed normally as in…

A: If a random variable, X~N(μ,σ2), the z-score is Z=X-μσ; Z~N(0,1)whereμ=population meanσ=population…

Q: Body temperatures of adults are normally distributed with a mean of 98.60◦ F and a standard…

A: Given that body  temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: The variable xx denotes the time taken in seconds for a computer link to be made between the…

A:

Q: Chapt 4, Q8: Answer this question please The antibody production of 12 male red-winged blackbirds…

A: Given data: Standard deviation  = 0.240 Margin of error = 0.08 Confidence level = 80% (0.8) To find:…

Q: If X is a Poisson variate such that 4) + 90 P(X=6), find the P(X=2)=9P variance (X =

A:

Q: f(x) = ,2 <x < 5 %3D 39 ,otherwise k to see additional instructions the random variable whose pdf…

A: V[X] = E[X2]- (E[X])2 ----- Formula ________________________________________

Q: Researchers are interested in estimating the prevalence of illegal drug use among teenagers aged…

A: Given n=55 P=0.40

Q: If X is a Gaussian random variable with mean zero and variance o, find the pdf of Y = \XI.

A:

Q: Statistical information on the annual maxima (i.e., annual maximum floods) for a river is summarized…

A:

Q: The relationship between temperatures in degrees Celsius Oc and degrees Fahrenheit Op is given by…

A: The relationship between temperatures in degree Celsius θC and the degrees Fahrenheit θF is given by…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.