Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet Ilunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. • A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. • Otherwise a candidate must wait at least 1 year before attempting the exam again. Question 5 Part 1 Subquestions 5.a What proportion of candidates are automatically asked for a phone interview? 0.8944 0.84 0.68 0.16 0.1056

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Read the following prompts and complete Question 5 Part 1 and all its subquestions

Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to
bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must
pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard
deviation of 12 points.
A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview.
A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date.
Otherwise a candidate must wait at least 1 year before attempting the exam again.
Question 5 Part 1 Subquestions
5.a
What proportion of candidates are automatically asked for a phone interview?
0.8944
0.84
0.68
0.16
0.1056
Transcribed Image Text:Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. Otherwise a candidate must wait at least 1 year before attempting the exam again. Question 5 Part 1 Subquestions 5.a What proportion of candidates are automatically asked for a phone interview? 0.8944 0.84 0.68 0.16 0.1056
5.b
What is the minimum score that a candidate in the top 30% of the distribution can get in order to be invited to take the entrance exam again?
66.24 points
72 points
53.76 points
84 points
5.c
If a candidate has scored in the top 30% of the distribution, what is the probability that the candidate is a "top performer"?
0.8944
0.70
0.648
0.352
0.30
0.1056
Transcribed Image Text:5.b What is the minimum score that a candidate in the top 30% of the distribution can get in order to be invited to take the entrance exam again? 66.24 points 72 points 53.76 points 84 points 5.c If a candidate has scored in the top 30% of the distribution, what is the probability that the candidate is a "top performer"? 0.8944 0.70 0.648 0.352 0.30 0.1056
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