h tap e 14-22. If 5% of the electric bulbs manufactured by a company are defective, use Poissondistribution to find the probability that in a sample of 100 bulbs(i) none is defective,(ii) 5 bulbs willI be defective. (Given : eS= 0-007).n = 100,

It is been asked to find the required two probabilities using given information.

Answered: 14-22. If 3% of the electric bulbs…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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the environmental protection agency (EPA) limits the amount of vinyl chloride in the plant air emission to no more than 10 parts per millions. suppose a mean emission of vinyl chloride for a partiular plant is 4 parts per million. assume the number of parts per million of vinyl chloride in air sample x follows a Poisson probability distribution what is the standard deviation of the plant is it likely that a sample of air from the plant would yield a value of x that would exceed the EPA limit? explain. note that P(x <=9)= 0.991868
The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55. Suppose that the random variable X is the number of earthquakes occurring in one day in the world. Let the random variable Y be the total number earthquakes occurring in the world in 3 days. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time.a. For our model, what is expected value of X? b. What is the probability that X = 55? c. What is the probability that X > 55? d. What is the probability that X >60? e. What is the smallest value C so that there is at least a 0.9 probability of no more than C earthquakes in a day? f. Y also has a Poisson distribution. What is the parameter ?y for Y? g. What is the standard deviation of X? h. What is the probability Y =164? i. What is the probability that Y < 164? j. What is the probability that X>60 given that X>55?
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4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
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14-22. If 3% of the electric bulbs manufactured by a company are defective, use Poisson distribution to find the probability that in a sample of 100 bulbs (i) none is defective. (ii) 5 bulbs will be defective. (Given: eS= 0-007). n = 100,