Let X be the number of material anomalies occurring in a particular region of an aircraft...

Question

Question

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

e_λλκ e-6(6)3 (0.002 479) × (216) P(X = 3) =--31 Use excel function POISSON.DIST( X, mean, cumulative) to calculate Px(3): PO 0.002 479 0! 0! 0.014 873 = 1! P(X = 2) = 6(6)2 Answer 0.002 479 + 0.014 873 + 0.044 618 0.061 969 Use excel function POISSON

Add a comment

Answer 2

Similar Homework Help Questions

Let X be the number of material anomalies occurring in a particular region of an aircraft...

Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. A researcher proposes a Poisson distribution for X. Suppose that i = 6. The Poisson probability mass function is: 1 - 1 P(X = r) = r! for x = 0,1,2,... Use the pmf to calculate probabilities. Verify these values in R using dpois(x,lambda). Compute the following probabilities: (Round your answers to three decimal places.) (a) P(X = 5) = (b) PCX...
Will rate!! Let X be the number of material anomalies occurring in a particular region of...

Will rate!! Let X be the number of material anomalies occurring in a particular region of an aircraft gas turbine disk. A researcher proposes a Poisson distribution for x. Suppose that à 5 The Poisson probability mass function is: cA. Use the pmf to calculate probabilities. Verify these values in R using dpoistx,Jlambda). Compute the following probabilities: (Round your answers to three decimal places) (a) P(X 4) (c) Px 4) -
Let X be the number of material anomalies occurring in a particular region of an aircraft...

Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials"� proposes a Poisson distribution for X. Suppose that ? = 4. (Round your answers to three decimal places.) (a) Compute both P(X ? 4) and P(X < 4). (b) Compute P(4 ? X ? 5). (c) Compute P(5 ? X). (d) What is the probability that the number of anomalies does not...

Let X be the number of material anomalies occurring in a particular region of an aircraft...

Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials"t proposes a Poisson distribution for X. Suppose that μ-4. (Round your answers to three decimal places.) (a) Compute both P(X S 4) and P(X < 4). P(X < 4)- (b) Compute P(4 sX 9) (c) Compute P(9 sX) (d) What is the probability that the number of anomalies does not exceed the...
9. Let X be the number of material anomalies occurring in a particular region of an...

9. Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine desk that follows a Poisson distribution with (a) (5 points) What is the probability that at most four anomalies in that region. 0.195 (b) (5 points) What is the expected number of material anomalies occurring in that region. Elx) = 16 (C) (5 points) What is the probability that the number of anomalies exceeds its mean value by no more than one...
Let X denote the number of tornadoes occurring in a specific region in 2016. Assume X...

Let X denote the number of tornadoes occurring in a specific region in 2016. Assume X has a Poisson distribution with variance 7 (a) Calculate P(X26) (b) Caleulate the probability that there will be 8 or more tornadoes given that there are at least 3 tornadoes, e. P(X8X23)

4. Let X denote the number eggs hatched out of Y eggs laid by a particular...

4. Let X denote the number eggs hatched out of Y eggs laid by a particular parasite. The joint pmf of (X, Y) is given by A(1-0) e ,for x 0, 1, 2,.., y , and y = 0,1,2, .,00 Px,y (x, y)= 1 -6 = 0, otherwise where A> 0 and 0< 0<1 are unknown constants. (a) Find the marginal pmfs of X and Y. Are X and Y independent? (b) Find the conditional pmf of X|Y = y...
Let the random variable X be the number of goals scored in a soccer game, and...

Let the random variable X be the number of goals scored in a soccer game, and assume it follows Poisson distribution with parameter λ = 2,t = 1, i.e. X~Poisson(λ = 2,t = 1). Recall that the PMF of the Poisson distribution is P(Xx)- at-, x = 0,1,2, a) Determine the probability that no goals are scored in the game. b) Determine the probability that at least 3 goals are scored in the game. c) Consider the event that the...
Poisson Distribution Question Problem 2: Let the random variable X be the number of goals scored...

Poisson Distribution Question Problem 2: Let the random variable X be the number of goals scored in a soccer game, and assume it follows Poisson distribution with parameter λ 2, t 1, i.e. X-Poisson(λ-2, t Recall that the PMF of the Poisson distribution is P(X -x) - 1) e-dt(at)*x-0,1,2,.. x! a) Determine the probability that no goals are scored in the game b) Determine the probability that at least 3 goals are scored in the game. c) Consider the event...

Let X be the number of “F1 tornados” that will hit the Twin Cities metro region...

Let X be the number of “F1 tornados” that will hit the Twin Cities metro region next year (these are the least damaging tornados). Suppose X has a Poisson distribution with mean µ = 4.7. Find P(X = 3). Show your work with the formula involving the number e ≈ 2.7182818.

Let X be the number of material anomalies occurring in a particular region of an aircraft...

Homework Answers