4. 5. In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of these subjects. Find the probability that a randomly selected student: (a) studies Mathematics given that he or she studies Physics, and (b) does not study Physics given that he or she studies Mathematics. In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine 3 make 30%, 45% and 25% respectively of the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 32

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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4.
5.
In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5
study none of these subjects. Find the probability that a randomly selected
student: (a) studies Mathematics given that he or she studies Physics, and (b)
does not study Physics given that he or she studies Mathematics.
In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine
3 make 30%, 45% and 25% respectively of the products. It is known from the
quality control data collected from the past that 2%, 3% and 2% of the products
made by each machine respectively, are defective. If a product is chosen
randomly chosen and found to be defective, what is the probability that it is
made by Machine 3?
6.
5 people are to be chosen at random from 5 men and 4 women to form a team.
Find the probability that the team contains
(i)
(ii)
3 men and 2 women,
at least 3 men.
Transcribed Image Text:4. 5. In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of these subjects. Find the probability that a randomly selected student: (a) studies Mathematics given that he or she studies Physics, and (b) does not study Physics given that he or she studies Mathematics. In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine 3 make 30%, 45% and 25% respectively of the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 3? 6. 5 people are to be chosen at random from 5 men and 4 women to form a team. Find the probability that the team contains (i) (ii) 3 men and 2 women, at least 3 men.
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