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6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?

6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?
Transcribed Image Text:6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?
Expert Solution
Step 1

Given

Total = 1000

P(computer programmer job) = 0.415

P(Another job) =0. 585

P(degree in computer science | computer programmer job  )= 0.60 

P(degree in computer science | another job )= 0.30 

 

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