A biased die is thrown thirty times and the number sixes seen is eight. If the die is thrown a further twelve times find the expected numbers of sixes and the variance of the number of sixes. E(X)=3.2 E(X)=3.1 E(X)=3.3 None of the choices

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: Suppose that (x_1 - x-bar)^2 = 5.19, that (x 2 - x-bar)^2 = 1.39, and (x_3- x-bar)^2 = 1.00. Compute…

A: Given data is appropriate for measures of central tendency to find the variance for the given data.

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: 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: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: (d). Determine there is a significant relationship between wealth and age at the 10% level of…

Q: Which of the following statements is FALSE? O When combining forecasts using the OLS method, it is…

A: Which of the following is false? When combining forecasts using the OLS method, it is possible for…

Q: If E(x; – X)² fi = 600 and E f; = 30 , The variance value is equal to %3D

A: The variance is calculated by  Variance= (1/N) sigma fi(xi - X)^2

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

A:

Q: Consider a random sample of size n. Let each element of the random sample have mean 0 and variance…

A: μ=0, σ2=1

Q: The length of time that a certain type of watch will run is an exponential random variable. This…

A:

Q: Calculate L = E(Ä|X1) and find its variance. Is the variance of L smaller than the variance of Ä? Is…

A:

Q: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…

Q: No, this solution is not correct. The variance of an exponentially distributed random variable is…

A: We are given that L is exponentially distributed with a mean of 1/Y, where Y has a gamma…

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

Q: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: Hi, thanks for posting the question. Since there are more than three sub parts posted in the…

Q: The probability that a citizen of a certain country takes a flight between two cities is 0.023 and…

A: 1. The probability that a citizen of a certain country takes a flight between two cities is 0.023…

Q: What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.71x = 1 and…

A: We are given the following probability distribution:xi​0123P(X = xi​)0.710.170.010.11To find the…

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A:

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: All pacemakers generate a pulse of current to depolarize a bit of the heart, the wave then…

A: Given : Claim : standard deviation σ is less than 0.06

Q: Please explain this well. Where does the 16 come from? Where does (1/8) come from? Please explain…

A: We will need substitution  Substitute this in the integral

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

A:

Q: Let Yi and Y, be two independent unbiased estimators of 0. Assume that the variance of Y, is twice…

A: It is a fact of statistics . It is widely used in estimation .

Q: Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from…

A: Solution

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

A:

Q: Let X1, X2, .,X25 be i.i.d. random variables from Po(5). Estimate ... the MSE for the median…

A: Maximum likelihood is a common parameter estimation method used for specials distribution models.…

Q: Question 2: The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. Each value is…

A:

Q: (c) Var(X) = Var(Y) (d) Var(X)= 1.5 (e) Var(Y) = 2.5

A: Instruction : answer last 3 parts with example.   First Sample X : Sample Variance 1 (s12)(s_1^2)…

Q: A company has two electric generators. The time until failure for each generator follows an…

A: A company has two electric generators. The time until failure for each generator follows an…

Q: Find the variance of this variable. O 1.40 O 1.49 O 1.88 O 1.97

A: It is given that the random variable X i.e, defects in batch.

Q: Each day a random number, N ,of visitors make a purchase. The mean of N is E(N) = 12.8 and its…

A: Given information: EN=12.8VN=8.5EXj=130.0VXj=42.0 Y=∑j=1NXj

Q: The mean is equal to of cellular phones of sold per day is therefore, it means that the average…

A: Given: x p(x) 15 0.3 18 0.2 19 0.2 20 0.15 22 0.15

Q: (a) Among the next 210 customers, what are the mean and variance of the number who pay with a debit…

A: Consider the events A, B and C that represents the customers who pay with a credit card, debit card,…

Q: The amount of nicotine in a cigarette produced by a tobacco company is a random variable with mean…

A: Formula used: The standard deviations of sampling distribution is=  Sd/ √n

Q: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the…

A:

Q: Assume that ξ has a rectangular distribution with the mean value E(ξ) = 0 and the variance V(ξ) =…

A: