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1. There are 240 students registered in Grade 12. 63 are taking Physics, 46 are taking Adv F, and 154 are taking biology. There are 5 who are taking physics and functions, 8 who are taking physics and bio, 28 who are taking Adv F and bio and 2 who are taking all three. a) Draw a Venn Diagram b) How many students are not taking any of these courses? c) Determine the probability that a student chosen at random is NOT taking Physics.

1. There are 240 students registered in Grade 12. 63 are taking Physics, 46 are taking Adv F, and 154 are taking biology. There are 5 who are taking physics and functions, 8 who are taking physics and bio, 28 who are taking Adv F and bio and 2 who are taking all three. a) Draw a Venn Diagram b) How many students are not taking any of these courses? c) Determine the probability that a student chosen at random is NOT taking Physics.

A First Course in Probability (10th Edition)
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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Unit 1 - Intro to Probability Assignment Include full solutions to each question. You must submit your assignment as a PDF and on time 1. There are 240 students registered in Grade 12. 63 are taking Physics, 46 are taking Adv F, and 154 are taking biology. There are 5 who are taking physics and functions, 8 who are taking physics and bio, 28 who are taking Adv F and bio and 2 who are taking all three. a) Draw a Venn Diagram b) How many students are not taking any of these courses? c) Determine the probability that a student chosen at random is NOT taking Physics. 2. The probability of event A occurring is. The probability of events A and B occurring is. The probability of event A occurring given that event B occurring is. Determine P(B). NO DECIMALS 3. Given S: {1, 2, 3, 4, 5, 6, 7, 8, 9), A = { 2, 4, 6, 8), B = {1, 3, 4, 5, 7) and C = {7, 8), find: a) A'n B b) AU B c) A' n c' d) An B nc 4. In 2010, your company paid overtime wages or hired temporary help during 32 weeks of the year. Overtime was paid for 26 weeks and temporary help was hired for 15 weeks. If at year's end an auditor checks your accounting records and randomly selects one week to check the company's payroll, what is the probability that the auditor will select a week in which you paid overtime wages and hired temporary help? (Note: there are 52 weeks in a year) 5. The quality control inspector for a computer company either accepts or rejects shipments of microprocessors as a result of testing a sample of the items in a shipment. The inspector's previous performance indicates that she has • Accepted 98% and rejected 2% of all shipments that turned out to be good • Accepted 94% of all shipments even though 5% of the shipments are known to be inferior. a) Find the probability that a good shipment is rejected. b) Find the probability that an inferior shipment is accepted.
Transcribed Image Text:Unit 1 - Intro to Probability Assignment Include full solutions to each question. You must submit your assignment as a PDF and on time 1. There are 240 students registered in Grade 12. 63 are taking Physics, 46 are taking Adv F, and 154 are taking biology. There are 5 who are taking physics and functions, 8 who are taking physics and bio, 28 who are taking Adv F and bio and 2 who are taking all three. a) Draw a Venn Diagram b) How many students are not taking any of these courses? c) Determine the probability that a student chosen at random is NOT taking Physics. 2. The probability of event A occurring is. The probability of events A and B occurring is. The probability of event A occurring given that event B occurring is. Determine P(B). NO DECIMALS 3. Given S: {1, 2, 3, 4, 5, 6, 7, 8, 9), A = { 2, 4, 6, 8), B = {1, 3, 4, 5, 7) and C = {7, 8), find: a) A'n B b) AU B c) A' n c' d) An B nc 4. In 2010, your company paid overtime wages or hired temporary help during 32 weeks of the year. Overtime was paid for 26 weeks and temporary help was hired for 15 weeks. If at year's end an auditor checks your accounting records and randomly selects one week to check the company's payroll, what is the probability that the auditor will select a week in which you paid overtime wages and hired temporary help? (Note: there are 52 weeks in a year) 5. The quality control inspector for a computer company either accepts or rejects shipments of microprocessors as a result of testing a sample of the items in a shipment. The inspector's previous performance indicates that she has • Accepted 98% and rejected 2% of all shipments that turned out to be good • Accepted 94% of all shipments even though 5% of the shipments are known to be inferior. a) Find the probability that a good shipment is rejected. b) Find the probability that an inferior shipment is accepted.
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