Use the probability distribution given in the table below and consider two new random variables, W=...
Question Use the probability distribution given in the table below to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X 0) No Rain (X 1) Total Long commute (Y 0) Short commute (Y 1) 0.26 0.13 0.39 0.58 0.03 0.61 Total 0.84 0.16 1.00 Compute the mean of Y E (Y) (Round your response to two decimal places) Compute the mean of X E (X) (Round your response to two decimal places) Compute the variance...
2. (-13 Points) DETAILS TANFIN12 8.3.002. The probability distribution of a random variable x is given. MY NOTES 12 -2 0 2 4 PCX = ) 0.3 0.1 0.2 0.2 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation The probability distribution of a random variable X is given. 1 View 2 3 4 P(X = x) 0.3 0.4 0.2 0.1 Compute the mean, variance, and standard deviation...
3Y 2 1. (20 points) Suppose that X and Y independent random variables. Let W 2x (a) Consider the following probability distribution of a discrete random variable X: 12 P(X) 00.7 0.3 X Compute the mean and variance of X (b) Use your answers in part (a). If E(Y)=-3 and V(Y)= 1, what are E(W) and V (W)?
The probability distribution of a random variable X is given. -198 -195 -191 -188 -185 p(X x) 0.20 0.25 0.30 0.15 0.10 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation Need Help? Read it
he probability distribution of a random variable x is given. -196 -195 191 -189 -185 p(X = x) 0.20 0.25 0.15 0.10 0.30 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation
17. Consider the followin probability distribution listed below: 3 0.3 Find the mean of this probability distribution. Round to one decimal place, and place your answer below. 18. For a standard normal distribution (mean is 0 and standard deviation is 1), find P(-0.65 <1.12). Round to 4 decimal places, and list your answer below. You are conducting a study to see if the proportion of voters who prefer Candidate A is higher than 0.36 (a two-tailed test). The test statistic...
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
Given below is a bivariate distribution for the random variables x and y. f(x, y) x y 0.3 50 80 0.2 30 50 0.5 40 60 (a) Compute the expected value and the variance for x and y. E(x) = E(y) = Var(x) = Var(y) = (b) Develop a probability distribution for x + y. x + y f(x + y) 130 80 100 (c) Using the result of part (b), compute E(x + y) and Var(x + y). E(x...
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a value selected at random from this distribution is greater than 25? (Round your answer to two decimal places.) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.9; σ = 3.5 P(10 ≤ x ≤ 26) = Need Help? Read It Assume that x has a...
Let Z be a standard normal random variable. Use the calculator provided, or this table to determine the value of c. P(0.56 37 3c) = 0.2655 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. e X 5 ? Use the calculator provided to solve the following problems. . Consider at distribution with 11 degrees of freedom. Compute P(15 1.57). Round your answer to at least three decimal places. . Consider at...