3.69 The life span in hours of an electrical compo- nent is a random variable with cumulative distribution function e- 50, x > 0, 10, 1 F(x) = {0. - eleswhere.
Q: The time (in hours) required to repair a machine is an exponentially distributed random variable…
A: Followings are the answer of the question
Q: The number of sales in a day for a small company is a gamma random variable that has a distribution…
A: Introduction: The random variable, X representing the number of sales for a small company in a day,…
Q: Random Variable X has PMF given by the following. What is the PMF of Y = X^2 + 1. x…
A: Given Y=X2+1 X -1 1 2 P(X=x) 0.4 0.1 0.5
Q: (a) Find the values of a and B. b) Find the probability that on any given day the daily power…
A: Given thatIn a random variable x having a gamma distribution with mean = 9 and variance =27
Q: Which value for X will result in the greatest relative frequency give discrete random variable…
A: P.d.f of binomial distribution is given by, p(x)= nCx px qn-x , q=1-p X~B(4, 1/10) p(x)= 4Cx…
Q: which of the following gives the probability that the random variable X > 2?
A: here given cumulative probability density function
Q: Suppose that the random variable X has a lognormal distribution with parameters - = 0 and w? = 4.…
A:
Q: Suppose that f (x) = e* for 0 < x Determine the mean and variance of the random variable.
A:
Q: Statistics and Probability In a M/M/1 model, the average number of customers in the system is 6, and…
A: Given information is ; Number of customers in the system (Ls)=6 Average waiting time in the queue…
Q: Suppose a continuous random variable X pdf constant from 0 to 7.516, where the pdf is zero…
A: Suppose a continuous random variable X pdf constant from 0 to 7.516, where the pdf is zero…
Q: A fair die is tossed until the first one appears. Let X denote the random variable equal to the…
A:
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: Given: n1 = 9 Children. X1 = 2.7 Hours. n2 = 9 Adults. X2 = 2 Hours. α = 1% = 0.01
Q: -generating function is as follows f(x)= 2x-1/16 , x=1,2,3,4 my answer is mean = 25/8, var = 170/16…
A: x 1 2 3 4 f(x) = 2x-116
Q: fua (1,894 |(-x),0 +0,2 ='7 2. What is the expected value and variance of the random variable y?
A: Expected value of X is given by, E(x)= integration|xx*f(x)dx = Integration|00.6 x*1.894*(1-x2)dx =…
Q: Suppose that the hazard rate of a certain continuous positive random variable is given by 4t+4. Find…
A:
Q: The Random Variable X counts the number of students who passed a test in a class of 18 students. If…
A: Solution-: Given: n=18,p=0.457 We want to find P(X=2)=?
Q: The annual rate of return on an investment each year is an independent and identically distributed…
A: Given that the annual rate of return on an investment each year is an independent and identically…
Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…
A: Solution: It is needed to find the value of X.
Q: (4) Battery lifetime is a Normal r.v. with μμ=500 days and σσ=61 days. (a) What is the probability…
A: Mean ( u ) =500Standard Deviation ( sd )=61Normal Distribution = Z= X- u / sd ~ N(0,1)…
Q: 3. Which is a continuous random variable? X = "number of petals on a sunflower" Z = "results of…
A: A discrete random variable takes discrete values. A continuous random variable takes continuous…
Q: A physical fitness test was given to a large number of college freshmen in part of the test each…
A: A physical fitness test was given to a large number of college freshmen in part of the test each…
Q: The number of deaths caused by accidents on a stretch of motorway have been measured for the 30…
A: As Prof. P. K. Giri said "A chi-square test, or specifically Pearson's chi-square test is performed…
Q: Let X be an exponential random variable with mean 6. Find: (a) ?(?>4) (b) ?(?>6|?>2)
A: Given : mean , u = 6
Q: Determine the probability that the minimum value in a random sample of size 5 from an exponential…
A: Required Probability = 0.9179 answer Calculations:
Q: The lifespan(in years) of radio is an exponentially distributed random variable with parameter λ=…
A: The lifespan (in years) of radio is an exponentially distributed random variable with parameter λ=…
Q: The number of particles emitted at a radio frequency follows Poisson distribution with an average…
A: Given data λ = 120 particles per hour = 12060 particles per minute = 2 particles per minute
Q: A normally distributed random variable X with variance o = 400 and P(X > 250) = 0.7425. Then the…
A:
Q: The random variable, x, has a normal distribution. How many standard deviations above the mean must…
A: Given The random variable, x, has a normal distribution.
Q: The time to failure (in hours) fora laser in a cytometry machine is modeled by an exponential…
A:
Q: X and Y be standard normal random variables with correlation ρ. Compute the joint and marginal…
A:
Q: Each day during peak demand period, additional generator turns on. It has max output=1400 watts.…
A: Given data: max output=1400 watts. An exponential distribution with mean of 200 watts. To find: what…
Q: REM (rapid eye movement) sleep is sleep during which most dreams ocour. Each night a person has both…
A: The given values are n1=11,x¯1=2.5,σ1=0.6,n2=11,x¯2=1.90,σ2=0.5.
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: We have given that Sample sizes n1=8 ,n2 =8 xbar1 = 2.9 , xbar2=2.00 Sigma1=0.6 ,sigma2=0.8 1%…
Q: is a Poisson random variable with a rate 11 Calculate P(X = 8)?
A: Answer: From the given data, X is a Poisson random random variable with Rate λ = 11
Q: Find the z-score z_0.025
A: The random variable z represents the standard normal distribution with parameters . The Excel…
Q: . B. (on a paper) A random variable x has this probability distribution: 1. Find p(4). 2. Find the…
A: According to the given information in this questionWe need to answer two parts
Q: The US Geological Survey complied historical data about Old Faithful Geyser from 1870 to 1987. Let…
A: To compute: 95% confidence interval for u1-u2. (use 2 decimal places)
Q: 8)You are told that the distribution of television weights is normal, with a mean, u of 11.4…
A: Since you have submitted two questions, we'll answer the first question. For the second question…
Q: how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .
A:
Q: Show how the difference in mean estimands can be decomposed into the average treatment effect (ATE).…
A: Treatment effect: The treatment effect for ith unit is the difference between its two potential…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- If X is a random variable having a normal distribution with the mean μ and standard deviation σ, how do you show the moment generating function of Z=(X-μ)/σ is the moment generating function of the standard normal distribution?A population with u = 45 and o = 10 is standardized to create a new distribution withu= 100 and o = 20. In this transformation, a score of X = 15 from the original distribution will be transformed into a score of X =.You are to roll a fair die n=108 times, each time observing the number of dots appearing on the top side of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,108. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die.μXi= ____________ Enter your answer using all the decimals you can.σXi= ____________ Enter your answer using all the decimals you can. (b) What is the probability that the average topside on your tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can. _____________ (c) What is the probability that the average of your tosses is greater than 4.15? Enter your answer using all the decimals you can. ______________
- the random variable Y is such that : E(2Y+3)=6 and Var(2-3Y)=11 find E(Y^2)The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20675 hours? (b) What is the probability that the laser will last at most 30974 hours? i (c) What is the probability that the laser will last between 20675 and 30974 hours? * = 0.00004. RoundWhat is Pr(X = n) for a Poisson random variable with parameter l? What is E(X ) in this case?
- Suppose X is a random variable of a normal distribution with E(X)=2 and Var(X)=4. Find P(X<4)The random variable X has an exponential distribution: X ~ Exponential(0.2). Find the following: (a) P(2 < X < 10) (b) P(X > 6) (c) Find the 70th percentile for XA researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using F-test and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?
- Daily sales of a store is normally distributed with mean μ=180 Rials and variance σ2 =100. Find the probability that total sales over a period of nine days is more than 1800 Rials.Let X be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood). The distribution of X for a healthy person is normally distributed with men u = 85 and standard deviation o = 25. A person suffers from severe excess in insulin would have a lower level of glucose. A blood test with result of X < 40 would be used as an indicator that medication is needed. (a) What is the probability that a healthy person will be suggested with medication after a single test? (b) A doctor uses the average result of 2 tests for diagnosis, that is X. The second test will be conducted one week after the first test, so that the two test results are independent. For many healthy persons, each has finished two tests, find the expectation and standard error of the distribution of X. (c) The doctor suggests medication will be given only when the average level of glucoses in the 2 blood tests is less than 40, that is X < 40, so to reduce the chance of…The mean µ=np and the standard deviation σ = np(1−p) is for