Fill the table above with random variables and corresponding probabilities? - Calculate the probability that the buyers can find at least 1 defective microwave after 3 have been tested? - Find the probability that buyers cannot find any defective microwave after 3 random ones have been tested?

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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Recal the example in class and also in the notes I sent to you.
Work again on the example as follows.
Example:
Suppose that 2 defective microwaves have been included in a shipment of 6
microwaves. The buyers want to test the 6 microwaves one at a time. Let Y denote the
number of defective microwaves is found after 3 random selected ones have been
tested. Find the probability distribution for Y.
Y = the number of defective microwaves found after 3 have been tested
What's the possible value of Y?
Y
P(Y=y)
?
?
Questions:
1- Fill the table above with random variables and
corresponding probabilities?
2- Calculate the probability that the buyers can find at least
1 defective microwave after 3 have been tested?
3- Find the probability that buyers cannot find any defective
microwave after 3 random ones have been tested?
Transcribed Image Text:Recal the example in class and also in the notes I sent to you. Work again on the example as follows. Example: Suppose that 2 defective microwaves have been included in a shipment of 6 microwaves. The buyers want to test the 6 microwaves one at a time. Let Y denote the number of defective microwaves is found after 3 random selected ones have been tested. Find the probability distribution for Y. Y = the number of defective microwaves found after 3 have been tested What's the possible value of Y? Y P(Y=y) ? ? Questions: 1- Fill the table above with random variables and corresponding probabilities? 2- Calculate the probability that the buyers can find at least 1 defective microwave after 3 have been tested? 3- Find the probability that buyers cannot find any defective microwave after 3 random ones have been tested?
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