Stats 250 W18 HW 2 Print HWNeed Help Due: 2/01/18 5.00PM Last Auto-save: 1/31/18

Question

Stats 250 W18 HW 2 Print HWNeed Help Due: 2/01/18 5.00PM Last Auto-save: 1/31/18 6:15PM NOTICE: You have 5 unanswered parts in this homework. Please see the bu nd in red below 12 3 4 5 6 7 8 910 View LIST Question 8 Background Entrance Exam for Google Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Employees enjoy 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 8 Subquestions 8.a The standard deviation reported is 12 points. of or a use of this standard deviation 1 point(s) Carefully read each statement below and select all statements that are correct in terms of the

Explanation / Answer

We have been given params of normal distribution:

mean = 60
stdev = 12

8d.

If the candidate is in top30 percent then probability of him being a "top performer" is ?

So, its' asking conditinal probability:

P(top performer|in top 30 percent) = P( scores above 75 | in top 30 percent) = P(Z> 75-60 /12 | in top 30 percent)
= P(Z> 1.25 | in top 30 percent)
= 0.1056/.30
= .352 or 35.2%

So, there is a 35.2% chance that he' a top performer if he' in 30 percent

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