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5% of an electric bulb production run is defective. 5.1 Define the random variable for the event "the i-th bulb is defective" and giu variable. 5.2 A random sample of 3 bulbs is drawn from the production run with replaceme the conditions for a binomial random variable? Justify your answer in detail.

5% of an electric bulb production run is defective. 5.1 Define the random variable for the event "the i-th bulb is defective" and giu variable. 5.2 A random sample of 3 bulbs is drawn from the production run with replaceme the conditions for a binomial random variable? Justify your answer in detail.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 5: 'nts) 5% of an electric bulb production run is defective. 5.1 Define the random variable for the event “the i-th bulb is defective" and give the distribution of the random variable. ints) 5.2 A random sample of 3 bulbs is drawn from the production run with replacement. Does this experiment statisfy the conditions for a binomial random variable? Justify your answer in detail. (P oints) 5.3 Consider the random variable "total number of defective bulbs in a random sample of n=3" with replacement. Find the probability distribution of the above random variable. (Round your answers to 4 decimal places). ints) 5.4 Calculate the expected value and variance of the above random variable. ints)
Transcribed Image Text:Problem 5: 'nts) 5% of an electric bulb production run is defective. 5.1 Define the random variable for the event “the i-th bulb is defective" and give the distribution of the random variable. ints) 5.2 A random sample of 3 bulbs is drawn from the production run with replacement. Does this experiment statisfy the conditions for a binomial random variable? Justify your answer in detail. (P oints) 5.3 Consider the random variable "total number of defective bulbs in a random sample of n=3" with replacement. Find the probability distribution of the above random variable. (Round your answers to 4 decimal places). ints) 5.4 Calculate the expected value and variance of the above random variable. ints)
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