The probability distribution for the random variable X is shown by the table. *Use the transformation technique* to construct the table for the probability distribution of Y = x^2 + 1.
X = -2 -1 0 1 2
P(x) = 0.12 0.18 0.28 0.24 0.18
The probability distribution for the random variable X is shown by the table. *Use the transformation...
bos on 559 2. Random variable X and Y have a bivariate normal distribution. The conditional density of X given Y = y is a OVH a. bivariate normal distribution Bossiu b. chi-square distribution c. linear distribution oms d. normal distribution e. not necessarily any of the above distributions. 3. The probability distribution for the random variable X is shown by the table. Use the transformation technique to construct the table for the probability distribution of Y = x2 +...
1. Use a normal-scores plot to see if the data are approximately normally distributed. 12, 14, 18, 22, 25, 29, 31 The data (does, does not) appear to be approximately normally distributed because the normal-scores plot (is, is not) roughly linear. 2. Random variable X and Y have a bivariate normal distribution. The conditional density of X given Y = y is a a. bivariate normal distribution b. chi-square distribution c. linear distribution d) normal distribution e. not necessarily any...
4. Use the distribution function technique to find the density function for Y = 2X + 3 The density function for X is f(x). Your answer should be given as a piecewise function. 2x + 1) 1<x<2 f(x) = 4 0 elsewhere =f2x+1) h 5. Use the transformation technique to find the density function for Y = 4x + 1. The density function for X is f(x). Your answer should be a piecewise function. f(x) = S4e-4x 0 < x...
The following table represents the probability distribution of a discrete variable x. What is the value of the unknown probability P (3) X P(x) 0 0.12 0.05 1 2. 0.24 3 P(3) 0.18
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
The probability distribution for the random variable X is given below. X 0 P(x) 0.05 0.17 0.26 2 3 4 0.24 0.28 What is the standard deviation to the nearest hundredth) for the random variable? O A 1.17 OB. 12 O C. 1.3 OD. 124 O E. None of the above Click to select your answer Type here to search o i E
Let X be a binomial random variable with the probability distribution f(x) shown below. Find the probability distribution of the random variable Y = x2. 3-X ; x = 0, 1, 2, 3 f(x) = elsewhere Complete the probability distribution g(y) of the random variable Y = x². 3-2/ , y=0,1 g(y) = elsewhere (Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expressions. Simplify your answers. Use a comma to separate answers...
The table below shows the probability distribution of a discrete random variable X. Values of the random variable X (x) Probability of observing each value of X P(X = x) 6 0.20 7 0.25 8 0.25 9 0.10 10 0.12 11 0.08 Total 1.00 (a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark (b) Determine the probability that the random variable X is at least 9. (1 mark) c. Determine the probability...
Let X be a binomial random variable with the probability distribution f(x) shown below. Find the probability distribution of the random variable Y =X4. 3-x f(x)= H , = 0, 1, 2, 3 f(x) = { elsewhere Complete the probability distribution g(y) of the random variable Y = X*. elsewhere (Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expressions. Simplify your answers. Use a comma to separate answers as needed.) icals as...
X is a discrete random variable with the probability distribution function shown in the table: x 0 1 2 3 Pr[X= x] .2 3 .4 a What is the value of a? O A..1 OB..5 Oc..9 O d. 1.0 O E. cannot be determined