4.66 Suppose x is a random variable for which a Poisson probability distribution with1 = 5 provides a good characterization.a. Graph p(x) for x = 0, 1, 2, ..., 15.b. Find u and o for x and locate u and the interval u ± 20 on the graph.c. What is the probability that x will fall within the interval u + 20?

Answered: Image /qna-images/answer/060a7945-03ee-4b4b-a51b-c9e967bb9e3d.jpg

Answered: 4.66 Suppose x is a random variable for…

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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Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
2. Let X be a random variable with the following probability distribution: -3 6 F(x) | 1/6 1/2 1/3 Find o?gox for the function g(X) = 3x² + 4.
It has been determined that the distribution of faulty products in a factory conforms to Poisson. 2% of the products produced monthly are defective. Calculate the probability of finding 3 defective parts in 250 randomly drawn samples.7a. 0.140b. 0.095c. 0.091D. 0.253to. 0.145
5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
1. If a random variable X takes the value 1,2,3,4 suchthat 2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4).Find the probability distribution of X.
Suppose X and Y have the following joint distribution: (please refer to image attached) Find the distributions of X and Y. Find Cov (X, Y), i.e. the covariance of X and Y. Find p(X, Y), i.e. the correlation of X and Y.
Clear my choice on 3 Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=D0.5, P(2)=0.2 and P(3)=D0.3 then P(X>1) is equal to: et answered ed out of 1.00 Select one: g question O a. 0.3 Ob. 0.2 Oc. 0.5 d. 0 Next pag
Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,B = 0.5. Find the probability that such a battery a) Find varince
Q.6. Use the binomial distribution in which n 6 and p = 0.3 to %3D calculate the following probabilities: (a). X is at most 1. (b). X is at least 2. (c). X is more than 5. (d). X is less than 6.
QI: Let x be random variable with the following (p.d.f): x20 f(x) = 0. W Find: 1. The constant C? 2. The c.d.f ? 3. P(10 f(x) = O. W 1. Write the moment generating function for X ? 2. Use this moment generating function to compute the first and second moments of X ? Q3: Suppose the (p.m.f) f the random variable X is 3 f(x) 0.2 0.1 0.4 0.3 Find: 1. The V(x)? 2. The E(4x) ? 3. The E(3x+2x)? Q4: Find the V(x) by using the mgf of the random variable x that has the pmf equal to 0.5 for x=-2 and x= 2 ? Q5: If X be random variable such that E[(X - 1)1 = 10, E[(X - 2)21 = 6, find V(x)? Q6: Given that has the following (p.m.f): f(x) = ;x = 0,1, 2, 3 Find the moment-generating function of this random variable and use it to calculate V(x) ? 07: Let x be random variable with the following (p.d.f): f(x) = 0. W Such that P(x < M (0)) Compute the value of b? %3D
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