Derive the shortcut formula from the definition of the variance of discrete distributions.
Derive the shortcut formula from the definition of the variance of discrete distributions.
Given the discrete random variable X ~ Poisson(λ). a) Derive the expected value and variance of Y, provided that Y = 2X + 4 b) Derive the expected value of Y, provided that Y = 4X2 + 24.
(x1-x)2 = (1 point BONUS) Calculate the computing formula from the definition af sample variance. That is show that
(4) Use the definition of derivative (not any shortcut formulas) to find the derivative of the following function: f(x) = x2 + 8x +9
What kind of distributions are the binomial and Poisson probability distributions? A. Discrete B. Continuous C. Both discrete and continuous D. Neither discrete or continuous
For the next estimate, derive the formula for the variance of the following estimator, assume that they are three independent samples. (10 pts) Xi is a random variable with mean = μi and variance = σ2i P5A2: If three initial samples are taken. With the following results. A o X2+2X2 3X3 Population Sample size Sample average sample variance 1 40 110.1 6.1 2 50 125 7.2 3 60 85 6.4
The uniform, normal, and exponential distributions a. are all continuous probability distributions. b. are all discrete probability distributions. c. are all the same distributions. d. can be either continuous or discrete, depending on the data.
Frequency distributions can be formed from which of the following types of data? Both discrete and continuous Discrete only Continuous only Only qualitative data
) For each o the following utility functions derive direclly from the definition not using the formula(s) from class or the text- the MRS (marginal rate of substitution) of y for at the points (1, 1) and (2,4) a) a(x, y)+y (c) u(r,y)3ry
State the formula for the phenotypic variance in a population, give a brief definition of each term? Interpret the meaning of an H2 value (broad-sense heritability) that approaches 1.0 Interpret the meaning of the H2 value (broad-sense heritability)that approaches 0.0
5) For each of the following utility functions derive directly from the definition not using the formula(s) from class or the tert - the MRS (marginal rate of substitution) of y for x at the point (2,4) (a) ua(x,y)=xy (c) ue(z,y)=z"y (d) ua(x, y)-