2. 3. 5. 6. How many even 4-digit numbers greater than 3000 can be formed from the digits 2, 6, 7, 8, 9 if no digit can be used more than once? Find the inverse s of -1959 modulo 979 such that 0≤s<979. You must show all the detailed steps. 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? 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.

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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Subject : Mathematics for Computer Science

Please answer all the questions!! Thanks!! 

2.
3.
5.
6.
How many even 4-digit numbers greater than 3000 can be formed from the
digits 2, 6, 7, 8, 9 if no digit can be used more than once?
Find the inverse s of -1959 modulo 979 such that 0 ≤ s <979. You must show all
the detailed steps.
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?
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:2. 3. 5. 6. How many even 4-digit numbers greater than 3000 can be formed from the digits 2, 6, 7, 8, 9 if no digit can be used more than once? Find the inverse s of -1959 modulo 979 such that 0 ≤ s <979. You must show all the detailed steps. 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? 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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