Create an example probability distribution table to the right in which the expected value is 5. (You must have at least 3 disfferent values for x).
1) X follows binomial ( 10, .5)
E(X) =5
2) X follows poisson( lamda= 5 )
E(X) = 5
3) X follows geometric ( q^x * p) , x=0,1,2....
where q= 5/6, p= 1/6
E(X) = 5
Create an example probability distribution table to the right in which the expected value is 5....
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
The table defines a discrete probability distribution. Find the expected value of the distribution. x 7 8 9 10 Pr(x) 1/3 1/3 1/3 0
Verify that the distribution shown in table is a probability mass function. Calculate the expected value and variance of the random variable X using the probability mass function. X Pr(X) -0.5 0.20 2 0.10 5 0.70
A discrete probability distribution differs from a continuous probability distribution, by only taking values on a discrete set (like the whole numbers) instead of a continuous set. The geometric distribution is a discrete probability distribution which measures the number of times an experiment must be repeated before a success occurs. For example, in this problem, we will roll a fair six-sided die until the number six occurs, at which point we stop rolling. (a) If we are rolling a die,...
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A: xi Distribution A: P(X=xi) Distribution B: xi Distribution B: P(X=xi) 0 0.02 0 0.49 1 0.09 1 0.24 2 0.16 2 0.16 3...
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B x Subscript ixi P(Xequals=x Subscript ixi ) x Subscript ixi P(Xequals=x Subscript ixi ) 0 0.480.48 0 0.050.05 1 0.240.24 1...
The table holds the probability distribution for the variable X, which represents the number of traffic accidents in a small town (daily) Number of Accidents Per Day (X) Probability of X, P(X) 0 .21 1 .27 2 .23 3 .12 4 .08 5 .05 6 .04 a. Calculate the probability of observing at least 1 accident per day, Pr(X ≥ 1). b. Calculate the probability of observing 7 accidents per day, Pr(X = 7). c. Calculate the expected number of...
If the probability distribution for the random variable X is given in the table, what is the expected value of X? Xi -4 3 4 Pi 3 5 2
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Let Y be a continuous random variable having a gamma probability distribution with expected value 3/2 and variance 3/4. If you run an experiment that generates one-hundred values of Y , how many of these values would you expect to find in the interval [1, 5/2]?