(b) M is discrete random variable that has the expected value 25 and variance 3. Find: i. E(3M +24) ii. Var (2M – 14) + E(4M)
Q: Q1. A box is to be constructed so that its height is five inches and its base is Y inches by Y…
A: I solved exactly first question because of bartleby policy if you want more please uplode…
Q: Probabilities of values of X-[10 21 24 27 30], a random discrete variable, are [0.16 0.09 0.13…
A:
Q: a) Calculate the covariance of Y₁ and Y₂. b) Are Y₁ and Y₂ independent? Are two uncorrelated random…
A: The given table: Y1 -1 0 1 Y2 -1 1/16 3/16 1/16 0 3/16 0 3/16 1 1/16 3/16 1/16…
Q: 3. The expection of a random variable X is equal to 5. What can be say about the expectations of (a)…
A: Given, Expectation of random variable X is 5. E(X) =5
Q: we are evaluating two random variables X and Y with probabilitydistribution equal to: p(x, y) = P (X…
A:
Q: Be A and B independent random variables with variances o2 and o3, respectively. Being D = A + B and…
A:
Q: Since P {x=-1} = P {x=1} = 1/2 , calculate the expected value and variance of the X random variable.…
A: Solution: From the given information,
Q: The manager of a stockroom in a factory knows from her study of record that x, the daily demand (…
A: Properties of probability: The probability value lies between 0 and 1 (inclusive). That is 0 ≤ P(x)…
Q: X is a uniformly distributed random variable with A = 10 and B = 20. a) What is the 75th percentile…
A: X is a uniformly distributed random variable with A = 10 and B = 20.a) What is the 75th percentile…
Q: 6. Given a random sample X₁, X2, ..., Xn from a normal distribution with known mean μ = 0 and…
A:
Q: Suppose that X and Y are independent random variables having the joint probability distribution:…
A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…
Q: The covariance of two random variables is always a number between -1 and 1 True False
A: In this case, we need to find the correct option.
Q: Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,ß = 0.5. Find…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
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: If X is a normal random variable with parameters µ = 3 and o² = 9, find P(2 0). с. P(|X – 3| > 6).
A:
Q: Suppose you take a stock returns from the Excelsior Corporation and the Adirondack Corporation from…
A:
Q: Suppose you have a chi-square random variable, Y, with 10 degrees of freedom. What is the smallest…
A: Given: Y~χ102 PY>k<0.05 ................(1)
Q: * The likelihood function of the random sample Xi-Binomial(3,0), with (x1,x2,x3,x4)%3D(1,3,2.2) is
A: Given : Xi follows Binomial distribution with n = 3 and parameter theta. Random sample of size 4…
Q: 2. The manager of an industrial plant is planning to buy a new machine of either type A or B. For…
A: The daily cost of operating the machine A is CAt=10t+30X2 The variable of machine A has a mean of…
Q: Let X be a random variable with mean µ and variance σ^2. Let Y = aX2 + bX + c. Find the expected…
A: From the given information, it can be written as follows:
Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…
A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63
Q: Find P(X = 3) if the mean of the Poisson random variable is A = 11. %3D 0.002021 0.271801 0.003705…
A:
Q: Find the expected value for the variance of the random variablé R=32-4y-5, if the standard deviation…
A: Solution: Given information: σz= 2 Population standard deviation of z σ y= 4 Population standard…
Q: Q7 Suppose X and Y are independent exponential random variables with parameters A1 and A,…
A:
Q: Let X be a random variable with an expected value of 0, and let X² have an expected value of 9. Find…
A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…
Q: Suppose tlhe random variable X has mean p and variance o? > 0. What are the vn'ues of the numbers a…
A:
Q: For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.
A:
Q: A random sample of size 200 is taken from a population with a proportion of male 0.65. Therefore,…
A: Given information- Sample size, n = 200 Population proportion of male, Pm = 0.65 So, population…
Q: 6. The odds of a given ticket winning the Powerball lottery is p = 1/292,201,338. When the jackpot…
A: The mean value λ is computed as follows:
Q: The mumber students who enter a Library in an hour is a poisson random variable. and suppose that…
A:
Q: 1 The expectation of the number of defective devices is given by the formula P T = N[₁ - (₁ - 2N)"]…
A:
Q: Let X, Y, and Z have means 1,2 and 3, respectively, and variances 4,5, and 9 respectively. X, Y and…
A:
Q: Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is O a. -46 O b.…
A: Answer is (b) 1154
Q: If E denotes the expectation (random variable X is denoted the variance of a as (E(X))^2 - E(X False…
A: Given,E denotes the expectation .
Q: Use the Alternative formula for Variance to calculate the variance of the random variable in Table…
A: Find the mean of the random variable k using the given probability distribution.Discrete random…
Q: The manager of an industrial plant is planning to buy a new machine of either type A or type B. If t…
A: Given,CA(t)=10t+30Y12CB(t)=8t+30Y22
Q: For the discrete probability distribution. 3 4. 6. 7 k 2k 2k 3k 2k2 7k + k Find the variance.
A:
Q: The probability distribution of the random variable X is: 4 6 0.3 0.4 2 f (x) 0.1 0.2 The variance…
A:
Q: 17. X and Y are independent random variables with means 10 and 20 and variances 2 and 3 respectively…
A: We have given that X and Y are independent random variable. Mean (X)=10 , Mean (Y)=20 And Var(X)=2…
Q: The service times for customers coming through a checkout counter in a retail store are independent…
A: Given that μ=1.5,σ2=1.0, n=100 P1.5-y0≤Y¯≤1.5+y0=0.95
Q: Let X be a discrete random variable with expectation -0.5 and variance 3. Let Y=−2X+8, find the…
A: The expectation and variance of discrete random variable X are -0.5 and 3, respectively.
Q: 7.2.3. X is the continuous uniform (-5, 5) random variable. Given the event B = {]X| < 3}, find the…
A: The PDF of X is, fXx=1/100-5≤x≤5Otherwise
Q: Let X be a random variable with expected value E(X) = 1 and variance Var(X) = 4. Find E(3X +2) and…
A: From the provided information, E (X) = 1 and Var (X) = 4
Q: If a random variable has a Binomial Distribution with parameters n = 20 and p= 0.1then it has a…
A:
Q: Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى…
A: x~binomial(n,p,q)where n=2 , q=0.6 variance=0.48 npq=0.48(2)(p)(0.6)=0.48 ⇒ p=0.4and…
Q: Let X1 ~ N(41, 0?) and X2 ~ N(u2, 03). Find the expected value and variance of Y = X1 + X2.
A: Solution: 39. From the given information,
Q: Suppose that the number of customers entering a bank in one hour is a Poisson random variable and…
A: We have given that P(X=0)=0.02 We use poisson probability distribution. I want to find mean and…
Q: 2. Consider a random sample X1,..., Xn from a normal distribution with known mean 0 and unknown…
A: Given that : Consider a random sample X1, ..., Xn from a normal distribution with known mean 0 and…
Q: Let X be a random variable with X -3 and oz = 5. Find the mean and the variance of Y = -2X -3
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)