The marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are independent random variables. Value of Y -2 3 -1 .06 .21 .03 .30 Value of X 2 .10 .50 .04 .20 .20 .70 .10 1.00
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- X Eu1 37% 0 1:17 am 265 (K i docs.google.com/form 44 Question The size of an ear of wheat in a field is modeled by a random variable X with normal distribution N(15,6). What is the probability for an ear to be greater than 16cm? 0.5675 O 0.5636 0.4325 O 0.5 Question * Given a random sample of size 13 from a normal distribution, find the value of k such that P(-1.356 < T < k) = 0.875 where T has a t-distribution. %3DLet x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 17 16 18 15 12 14 17 17 11 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. a: μ = 14; H1: μ < 14 b: μ = 14; H1: μ ≠ 14 c: μ > 14; H1: μ = 14 d: μ < 14; H1: μ = 14 e: μ = 14; H1: μ > 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume…The joint probability distribution of the random variables X and Y is given below: ? (?, ?) = ???, 0 <? <2, 0 <? <? 0, other a. Find the value of the constant. b. Calculate and interpret the covariance and correlation of the X and Y random variables. c. Calculate the expected value and variance of the random variable ? = 2? − 3? + 2.
- Answer D THROUGH H pleaseThe probability mass function for a random variable Y is given below. (Keep two decimal places) p(y) 0.1 0.2 0.3 0.3 0.1 1. Find the expected value of Y- 2.Find the variance of Y. Previous Page Next Page Page >H23 45A random variable X has a binomial distribution with q = 0.34 and a sample size of n. Find the mean and variance for the random variable Y which is defined below. Y = nX Mean: __________________ Variance: __________________
- Suppose that the random variable z has a standard normal distribution. Sketch each of the following z points, and use the normal table to find each z point. a) z(-0.01)b) z(-0.05)c) z(-0.10)Suppose Y is normally distributed with mean = -3 and variance equal to 4. Find the probability that Y is less than or equal to -0.3. Hint, you must standardize the random variable. 0.9115 0.4602 0.5832 0.1Which one of the following statements is True? The Odds against A equals 1 – Odds in favor of A. For a mound shaped distribution if the skew is positive then the mean is greater than the median. P(n, r) = C(n, r) / r! The probability of an event equals the number of favorable outcomes divided by the number of unfavorable outcomes. A Bimodal distribution is symmetric.
- R3probabilitySuppose you were given this Joint Probability Distribution: x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength y=number of times city name is stated 1 2 3 Marginal probability distribution of y 4 0.15 0.1 0.05 0.3 3 0.02 0.1 0.05 0.17 2 0.02 0.03 0.2 0.25 1 0.01 0.02 0.25 0.28 0.2 0.25 0.55 Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Find the conditional mean and variance of Y|3 Mean = Variance =