Binomial y Poisson

Binomial y Poisson

University

10 Qs

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Binomial y Poisson

Binomial y Poisson

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

CCSS
HSS.ID.A.4

Standards-aligned

Created by

Cecilia Figueroa

Used 4+ times

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10 questions

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1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your answers to three decimal places.)


(a) Obtain P(X =2)

2.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your answers to three decimal places.)

Determine P(2 ≤ X ≤ 4).

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your answers to three decimal places.) What is the probability that X exceeds its mean value by more than one standard deviation?

0.999

0.184

0.260

0.080

Tags

CCSS.HSS.ID.A.4

4.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) b(5; 8, 0.3)

5.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) b(6; 8, 0.55)

6.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) P(3 ≤ X ≤ 5) when n = 7 and p = 0.55

7.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) P(1 ≤ X) when n = 9 and p = 0.15

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