3. Suppose we have the following values for a different random variable X: 269.417 284.218 229.319...
Suppose that a random variable X is continuously uniform between the values of 3 and 12. Find the variance of the distribution of the sample mean of a random sample of size 32. Round your answer to four decimal places.
3. Suppose we have a random variable X with mean a new random variable Y as = 7 and variance a4. We define Y 3 5X Find the standard deviation of Y
Suppose we have a sample of observations for the pair of random variable (X, Y) in the following 2 x2 Show that the odds ratio can be estimated by ad/bc and derive an estimate of the variance of this estimator Suppose we have a sample of observations for the pair of random variable (X, Y) in the following 2 x2 Show that the odds ratio can be estimated by ad/bc and derive an estimate of the variance of this estimator
Suppose that a random variable X is continuously uniform between the values of 4 and 9. Find the variance of the distribution of the sample mean of a random sample of size 37. Round your answer to four decimal places.
Suppose that a random variable X follows a distribution with mean 100 and variance 81. We take a random sample of 240 observations and calculate x. What is the probability that we calculate a sample mean larger than 101?
Simulate n values of an exponential random variable X with parameter λ (of your choice), and compute the sample mean i, sample median m, sample standard deviation s. Plot these quantities as functions of n (on three separate plots). Do x, m, and s converge to any limit values, as n-oo? What are those values and how are they related? Estimate the variance of both x and m for a particular value of n, such as n 100 (by generating,...
3. Let X be the height of Zebras, assume the X is a random variable with mean 10 and variance 20. Suppose Y is be the weight of Zebras, assume the Y is a random variable with mean 10 and variance 40. Let E(XY)-80 (a) Find the covariance and correlation between X and Y. Find the covariance and correlation between aX + b and cY + d. a,b,c, and d are unknown constants. Your answer can depend on them. (b)...
3. Suppose we observe 5 values from an unknown distribution: (1,7,5, 16,4). (a) Find the sample mean (which is often used as an estimator of the population mean) (b) Find the sample variance (which is often used as an estimator of the population variance). (c) In general, the estimators above are both unbiased and consistent for the population mean and variance, respectively Bias and consistency are both measures of the central tendency of an estimators. One is more relevant in...
Suppose that a random variable X is continuously uniform between the values of 4 and 15. Find the mean of the distribution of the sample mean of a random sample of size 46. Round your answer to two decimal places.
Suppose that a random variable X is continuously uniform between the values of 5 and 11. Find the mean of the distribution of the sample mean of a random sample of size 59. Round your answer to two decimal places.