Binomial and Poisson Distribution

Binomial and Poisson Distribution

12th Grade

14 Qs

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Binomial and Poisson Distribution

Binomial and Poisson Distribution

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Given that on average 10 people are killed by sharks worldwide each year.  Find the probability that 1 or 2 people are killed in a year.

.0023

.0005

.0028

.9972

2.

FILL IN THE BLANK QUESTION

1 min • 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.

FILL IN THE BLANK QUESTION

1 min • 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

4.

FILL IN THE BLANK QUESTION

1 min • 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)

5.

MULTIPLE CHOICE QUESTION

1 min • 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

6.

FILL IN THE BLANK QUESTION

1 min • 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)

7.

FILL IN THE BLANK QUESTION

1 min • 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)

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