The distribution of a random variable X is shown in the table below and the expectation E[X] = 2. Then, what is the maximum value of ab?
x | a | 2 | b |
---|---|---|---|
P(X=x) | 0.2 | 0.3 | 0.5 |
The distribution of a random variable X is shown in the table below and the expectation...
The random variable X has the probability distribution table shown below. Calculate the standard deviation of X. Show all work as to how you performed your calculations as if you did not have a calculator. (Rounded to two decimal place [6 points) [Hint: First, find E(X)] * 0136 P(X = x) 0.1 0.2 0.3 0.4
The random variable X has the probability distribution table shown below. x 2 4 6 8 10 P(X = x) 0.2 0.2 a a 0.2 (a) Assuming P(X = 6) = P(X = 8), find each of the missing values. a = (b) Calculate P(X ≥ 6) and P(2 < X < 8). P(X ≥ 6) = P(2 < X < 8) =
2. The random variable X has the probabilities listed in the table below. What is the cumula- tive distribution function (CDF) of X? x P(X=x) 1 0.5 2 0.2 3 0.1 4 0.2
1. Two independent random variables X and y are given with their distribution laws 4 P 07 0.1 0.2 P 0.2 0.3 0.5 Find 1) the variance of random variable Y 2) the distribution law of random variable Z-0.5Y+x END TEST IN PROBABL ITY THEORY AND STAISTICS Variant 1 1. Two independent random vanables X and Y are given with their distribution laws: 2 0.7 0.1 P 0.2 0.3 0.5 0.2 Find 1) the variance of random varñable Y 2)...
х 1 4 5 4. The probability distribution of a random variable X is given below -4 3 P(X=x) 0.1 0.2 0.3 0.2 a) Find E(X) 0.2 b) Find Var(X)
The following table denotes the probability distribution for a discrete random variable X. Use this information to answer questions 10-11. X .0 1 2 9 P(X) 0.1 0.2 0.2 0.5 10. Find the mean of X. 11. The standard deviation of X is closest to (a) 15.49 (b) 19:9 (c) 4,46 (d) 4.08 (e) 3.94
4.8.147 :3 Que Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. | X p(x) e Sample | 1,1 1,2 1,3 1,4 2,1 2,2 2,3 2,4 Full data set e 0.2 Probability 0.04 0.04 0.06 0.06 0.04 0.04 0.06 0.06 0.2 3 0.3 Sample 3,1 3,2 3,3 3,4 4,1 4,2 4,3 4,4 4 0.3 Probability 0.06 0.06 0.09 0.09 0.06 0.06 0.09 0.09 ON a. Complete the sampling distribution table....
Consider the probability distribution shown for the random variable x found below. Complete part a through f. 0 x P(x) 3 0.4 4 0.2 6 0.2 12 0.2 a. Find = E(x) = 5.6 (Round to the nearest tenth as needed.) b. Find o =E[(x-1)2]. (Round to the nearest hundredth as needed.) c. Find o. o= (Round to four decimal places as needed.) d. Interpret the value you obtained for p. Choose the correct answer below. O A. The average...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
using excel answer the problem below Let X be a discrete random variable having following probability distribution. x 2 4 6 8 P(x) 0.2 0.35 0.3 0.15 Complete the following table and compute mean and variance for X x P(x) x· P(x) x2. P(x) 2 0.2 4 0.35 6 0.3 8 0.15 Total 1 Expected value E(X) = u = Variance Var = o2 =