Let X be a random variable that has a Poisson distribution. If the probability that X is greater than 0is 0.9986. Then the mean, variance, and the standard deviation of the probability distribution of Xare, respectively, (Choose one from the following which is closest to the correct answer)O e. 6.6, 6.6, 2.6.O b. 5.5, 2.2, 1.5.O a. 10.0, 3.4, 1.5.O c. 3.4, 2.2, 1.5.O d. 6.6, 2.2, 5.0.

Random variable X follows poisson distributionP(X>0)=0.9986

Answered: Let X be a random variable that has a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that X can only take on one of the 4 possible values from the probability distribution given below. What is the variance of X?(use a decimal number, rounded to the nearest 10th, without $ sign. For example, 1.2)
Suppose the random variable X follows a normal distribution with mean 70 and variance 100. Then the probability is 0.6826 that X is in the symmetric interval about the mean between two numbers are O A. None O B. 70 and 90 O C. -1 and 1 OD. 60 and 80
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
Equipment Breakdowns. A factory manager collected data on the number of equipment breakdowns per day. From those data, she derived the probability distribution shown in the following table, where W denotes the number of breakdowns on a given day. w 0 1 2 P(W = w) 0.80 0.15 0.05 a. Determine µW and σW . Round your answer for the standard deviation to three decimal places.b. On average, how many breakdowns occur per day?c. About how many breakdowns are expected during a 1-year period, assuming 250 work days per year?
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
Please calculate the covariance and the correlation coefficient for the two random variables and briefly comment on the resulting correlation between the variables.
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied, P(x) O 0.086 0.326 0.414 0.174 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. O E. No, not every probability is between 0 and 1 inclusive.

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