QUESTION Suppose X is a discrete random variable whose probability distribution function f(x) is given by the following table. Find the variance of X x f(x) Round to 4 decimal places if needed. -2 -1 0 3 10 10 3 10 1 -19 10 2 10
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- Activity 2: Find Mu and Friends Directions: Find the mean, variance and standard deviation of each of the following probability distributions. 1. P(x) 0.45 0.35 0.20 2. 2. 0.20 3 4. P(x) 0.15 0.15 0.30 0.20 2022.02.18 11:27Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.Find the variance of thefollowing probability distribution. X P(X) 1 0.30 2 0.15 3 0.05 4 0.25 5 0.25 A.1.73 B.1.61 C.2.60 D.1.27
- The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 8 The variance of the days to complete the project is ________. a 1.665 b 1.542 c 1.428 d 1.322x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal placesPath: p Calculate the variance of each of these fictitious samples: (a) 12, 6, 7, 3 (b) 9, 13, 8, 10 (c) 21, 15, -10, 6 A Paragraph a= CTRONIQ F5 F6
- Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.statisticQ4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
- Trying to find variance. his equation is Prob(x)*[x-e(x)]^2. Just need an example to get me started.Original question is: A call center recieves an average of 10 calls per hour. Assuming the number of calls received follows the poisson distribution, determine the probability of each of the discrete outcomes below. Then calculate the variance component for each one using the standard formula for the variance of a discrete random variable. At the end, take the sum of both columns. Table: Poisson Distribution Table Calls Density Variance 0 0.00% 1 0.05% 2 0.23% 3 0.76% 4 1.89% 5 3.78% 6 6.31% 7 9.01% 8 11.26% 9 12.51% 10 12.51% 11 11.37% 12 9.48% 13 7.29% 14 5.21% 15 3.47% 16 2.17% 17 1.28% 18 0.71% 19 0.37% 20 0.19% 21 0.09% 22 0.04% 23 0.02% 24 0.01% 25 0.00% 26 0.00% 27 0.00% 28 0.00% 29 0.00% 30 0.00% Sum 100.00%X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3Show all solution The pmf of a discrete random variable X is as follows: X -1 0 1 2 f(x) 1/10 2/10 5/10 2/10 Use this pmf to evaluate the following: mean of X variance of X