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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: Poisson distribution

Grade: 9-a Lesson: S4-L5

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Problem	Options
Steps 1	Accidents occur on a certain stretch of motorway at the rate of three per month. Find the probability that on a given month there will be one accident.?	A) 0.3528 B) 0.2589 C) 0.1494 D) 0.3211
Steps 2	A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies.Find the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.?	A) 0.1852 B) 0.5112 C) 0.4590 D) 0.5940
Steps 3	Find the probability P ( µ – σ < X < µ + σ ) if X has a Poisson distribution with λ = 5.?	A) 0.149 B) 0.742 C) 0.376 D) 0.095
Steps 4	If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001, determine the probability that out of 1500 individuals i) more than 2 , ii) mean and variance of distribution.?	A) 0.1913,1.5 B) 0.2183,2.5 C) 0.6572,3.2 D) 0.8056,0.85
Steps 5	A factory produces nails and packs them in boxes of 200.If the probability that a nail is substandard is 0.006,find the probability that a box selected at random contains at most two nails which are substandard.?	A) 0.5213 B) 0.2058 C) 0.8795 D) 0.7892

Problem Id

Problem

Options

Steps 1

Accidents occur on a certain stretch of motorway at the rate of three per month. Find the probability that on a given month there will be one accident.?

A) 0.3528
B) 0.2589
C) 0.1494
D) 0.3211

Steps 2

A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies.Find the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.?

A) 0.1852
B) 0.5112
C) 0.4590
D) 0.5940

Steps 3

Find the probability P ( µ – σ < X < µ + σ ) if X has a Poisson distribution with λ = 5.?

A) 0.149
B) 0.742
C) 0.376
D) 0.095

Steps 4

If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001, determine the probability that out of 1500 individuals i) more than 2 , ii) mean and variance of distribution.?

A) 0.1913,1.5
B) 0.2183,2.5
C) 0.6572,3.2
D) 0.8056,0.85

Steps 5

A factory produces nails and packs them in boxes of 200.If the probability that a nail is substandard is 0.006,find the probability that a box selected at random contains at most two nails which are substandard.?

A) 0.5213
B) 0.2058
C) 0.8795
D) 0.7892