Find the expected value of the function
Q: Let X is random variable which represents life time of a certain computer part . X is exponentially…
A: Given that, Mean of exponential distribution is 1/λ = 10 So λ = 1/10 X~ exponential(1/10)
Q: a) Find the first and third quartiles.
A: First we arrange the data in ascending order and then calculate the position of k th quartile using…
Q: a. Calculate the probability that X1 is less than 0.5 and that X2 is between 0.4 and 0.7. b. Show…
A: f(x1,x2)=2(1-x1) 0≤x1,x2≤1 P(0<x1<0.5,0.4<x2<0.7) =∫x1=00.5∫x2=0.40.72(1-x1) dx1…
Q: The F distribution is defined using two parameters. They are ____________ and ______________.
A: The F distribution is the ratio of two chi-square distributions with the degree of freedom v1 and…
Q: A basket has 10 pink balls. 11 blue and 13 red. Pick a random ball. X= -2 if pink, X = 0 if blue…
A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: Clearly describe the advantages of portfolio diversification. Suppose, the rates of return on two…
A: Portfolio Diversification Portfolio Diversification is the process of investing your money in…
Q: A die is weighted such that an even number is twice as likely to come out as an odd number. If the…
A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: Determine the distribution function, since the random variable X is the remainder of the product of…
A: Two numbers are selected from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The possible combinations for…
Q: Expected Value: Work:
A:
Q: t is known to show an exponential distribution where the average lifespan of a type of CPU is nine…
A: Given data, the average lifespan of a type of CPU is nine years.
Q: The average growth of a certain kind of tree is 1.63 inches in three years. A biologist claims that…
A: Given data is appropriate for testing of hypothesis to test t-test for single mean. Because it is a…
Q: 5. A part-time employee works for 1, 2 or 3 hours per day, each with a probability of 1/3. The…
A: 5) Given information: A part-time employee works for 1, 2 or 3 hours per day, each with a…
Q: because all airline passengers do not show up their reserved seat, an airline sells n = 125 tickets…
A: Let X be the random variable representing the number of passengers, out of 125, showing up to board…
Q: The lifetime of a machine part has a continuous distribution: Osx< 40 fx(x) ={ (10+ x)² else а.…
A:
Q: Find the expected value of x
A: Expectation is a concept in probability. It is similar to mean.
Q: The lifetime of a machine part has a continuous distribution: Osxs 40 fx(x) = { (10+x)² else a.…
A:
Q: The p-value of a test statistic in a right-tailed t-test a. gives the probability to the right…
A: Solution-: The p-value of a test statistic in a right-tailed t-test (a) gives the probability to…
Q: Provide one example of discrete random variable and one example of continuous random variable. a.…
A: A discrete variable is a variable that takes finite and countable values. In other words, the values…
Q: O Find the method of moments estimate of 0. What is the likelihood function?
A: To find the method of moments estimate, we equate the sample moments to population moments. The…
Q: From Actuarial Math Assume that the flow of claims being received by the claim department of an…
A: Let X be the number of claims received in 3 hour in the considered insurance company. Here it is…
Q: The monthly demand for transistors is known to have the following probability distribution: Demand :…
A: The expected demand is:E(X)=∑i(xipi)=1(0.10)+2(0.15)+3(0.20)+4(0.25)+5(0.18)+6(0.12)=3.62
Q: calculate the expected value of X.S
A: A cubical die is biased. The numbers one to five are equally likely to land face up, but six is…
Q: The number of hours a candidate studies for an actuarial exam is exponentially distributed with mean…
A: The given data: Mean, μ=150 Number of candidates selected at random, n = 200 The rate parameter, λ…
Q: (a) Write the formula of the cumulative distribution function of radius of a wheel rim. (b)…
A:
Q: Vehicle breakdowns are equally likely to occur at any point on a 10 kilometer stretch of a given…
A:
Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…
A: Given that Find Variance of A = ?
Q: The first assumption of the CLR model is that Select one: a. the expected value of the error term is…
A: Linear Regression model is a linear approach to depict the relationship between two variables by…
Q: Because all Victory bus passengers do not show up for their reserved seat, the Victory liner sells n…
A: Solution-: Given: We find, a) Find the probability that Victory liner departs with empty seats b)…
Q: A car repair company (that receives payments on a daily basis) is going to select which car repair…
A: The formula to calculate the expected income for repair offer "A"(say), E(A) = daily…
Q: The lifetime of a machine part has a continuous distribution: Osxs 40 fx(x) = { (10 + x)² else a.…
A:
Q: How do u find expected value
A: How do u find expected value
Q: Define the t distribution of means
A:
Q: Expectation: That the average monthly allowance of the morning class students is higher than those…
A: We need to find type of test and hypothesis statements .
Q: The weekly demand of a slow-moving product has the probability mass function shown to the right.…
A:
Q: A car repair company (that receives payments on a daily basis) is going to select which car repair…
A: a) The expected value of offer A for the daily payment of 400 is, E(A)= 400*(0.6*2+0.2*3+0.2*4)=…
Q: a. Find the maximum likelihood estimator for 0.
A:
Q: What is the P(-1 SYS 2)? Find the cumulative distribution function of
A:
Q: Find the cumulative distribution function (cdf) for the number of tails that will appear when a coin…
A:
Q: As the sample size increases, the variability among the sample means A) depends upon the specific…
A: Answer: Option: B is correct B. Decrease
Q: The shape of the F-distribution curve can have 1 or 2 numbers of degrees of freedom. True or False…
A: We have given that the statement about the F-distribution curve.
Q: The lifetime mileage of a car can be modeled as a Weibull variable with parameter λ = 1 per 150000…
A: It is given that the lifetime mileage of a car can be modelled as a Weibull variable with parameter…
Q: The lifetime of a machine part has a continuous distribution: Osx<40 fx(x)=D{ (10+x)? else a.…
A:
Q: 1. Arianne found a damaged die that is twice as likely to give a prime number than a nonprime…
A:
Q: Find the expected value of X
A:
Q: Probability of event after x hours is 0.74e-0.5x + 0.25e-0.25x Find mean, variance and quartiles of…
A: Probability Density Function: A continuous function f(x) is said to be the probability density…
Q: Find the expected value of the yearly rate of return of an investment that, for an initial cost of…
A: The formula for the annual rate of return is : Annual return=Ending valueInitial value1/no. of…
Step by step
Solved in 2 steps with 2 images
- Let X be a random variable with pdf f(x) = kx*,-1A random variable has density function f(x) = 1.6 - 1.2x, for 0≤ x ≤ 1. a) Calculate the variance of X. Var(X) = 0.4 b) Calculate the variance of g(X) = 4X + 1. Var(g(X)) = XLet x be a continuous random variable with the density function: f(x) = 3e-3x when x>0 and 0 else Find the variance of the random variable x.The density function of X is -120x- 0, f(x) = (2(x - 1), (a) Find the mean E(4X+3); (b) Find the variance 3x+2. 1 < x < 2, elsewhere.Let Y be a continuous random variable with a probability mass function: f (y) = Derive the moment generating function (MGF) of a random variable Y.Let the random variable X be defined on the support set (1,2) with pdf fX(x) = (4/15)x3, Find the variance of X.The density function of a random variable is given as fx(x) = ae bx x20. Find the characteristic function and the first two moments.Consider the random variable X with the uniformdensity having α = 1 and β = 3.(a) Use the result of Example 2 to find the probabilitydensity of Y = |X|.(b) Find the probability density of Z = X4(= Y4).Let X be a random variable with density function - 1< x < 2, fn) = fx*/3, f(x) = 0, elsewhere. Find the expected value and the covariance of g(X) = 4X + 3.Let Xbe a continuous random variable with density f (x) = 24x-4 for x > 2. Then Var (X) is equal toSuppose X is a continuous random variable with range range(X) = R, whose density fx is proportional to |x|e=x² (a) Find and plot the density fx. (b) Compute the cumulative distribution function Fx. (c) Compute the probability of X € [1,3] (approximate to 4-th decimal place). (d) Find the expected value and variance of X.Be X a random variable with density function defined by f(x) = -2², , x>0. 3 Get the moment-generating function and based on it, calculate the average and variance of X.SEE MORE QUESTIONS