Directions: Compute the expected value, variance, and standard deviation for random variable X whoseprobability table is given below:Possible Outcome -1 01/7 1/7ProbabilityProbability Table for X1. The Expected Value of X is E(X)2. The Variance of X is Var(X)3. The Standard Deviation of X is Std(X)125/14 5/14

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Answered: Directions: Compute the expected value,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Remaining Time: T hour, 54 minutas, 16 seconds. Question Completion Status: The following is the probability distribution for calls arrived at a switchboard of one of the leading companies: No. Calls (X) P(X) 0.19 0.38 14 0.3 18 What is the Calls Variance ? (Write your answer to the nearest 2 decimals)
engineering statistics.prpobability
1 A random variable X has a mean of 10 and variance of 9 and is of unknown distribution. Find p (5 < X < 15).
Random Variable X Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome 8 10 12 14 0.1 0.4 0.4 0.1 Probability Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) 3. The Standard Deviation of X is Std(X) Random Variable Y Directions: Compute the expected value, variance, and standard deviation for random variable Y whose probability table is given below: Possible Outcome 8 10 12 14 Probability 0.3 0.2 0.2 0.3 Probability Table for Y 1. The Expected Value of Y is E(Y) 2. The Variance of Y is Var(Y) 3. The Standard Deviation of Y is Std(Y)
The function f (x) = xc², x = 1, -1, 2, -2, 3, -3In order for the random variable X to be a probability functionWhat should be the constant c. Find the distribution function, expected value, and variance of the random variable X.
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Losses come from a mixture of an exponential distribution with mean 100 with probability p and an exponential distribution with mean 10,000 with probability 1– p. Losses of 100 and 2000 are observed. Determine the likelihood function of p. -0.01 pe (1– p)e“ pe 20 (1– p)e0² -0.2 (A) 100 10,000 100 10,000 pe (1– p)e“ -0.01 (B) pe (1– p)e02' 100 10,000 100 10,000 pe, (1- p)e0. 20 (1– p)eº -0.01 pe 100 -0.2 (C) pe 10,000 100 10,000 pe, (1- p)e 00i -0.01 (D) -20 ре (1– p)e02 100 10,000 100 10,000 e 0.01 +(1– p) e -20 (E) р. 100 10,000 100 10,000
Random variable has a normal distribution w/ mean = 25 & variance = 2.25 Determine the following probabilities: • P (20 < X < 28) • P (X < 27)
A random variable Z is normally distributed with mean and variance are 0 and 1 respectively. Determine the probability of P( √2
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
The probability distribution of a random variable X is given below. Given the mean Find the variance (Var(X)) and the standard deviation, respectively. O [955.00, 30.90] O [104.75, 10.23] O [50.13, 7.08] O [2330.85, 48.28] O [12.57, 3.55] X 1 2 3 4 10 P(X = x) 5/16 3/16 1/32/321/4 H=4.16

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