The Brac University Debate Team is looking for new members to join the team. The IQ of all the try-out participants is known to follow a normaldistribution with a mean of 97 points and a standard deviation of 17 points. To have a shot at joining the team, one must have an IQ between 87 pointsand 122 points; otherwise the team may end up imbalanced and incompatible.a. What is the probability that a randomly selected try-out participant will not satisfy the IQ requirements?Answer in exact fraction, or rounded to at least 4 decimal places.b. Determine the 80 percentile value for the IQ of the participants.Answer in exact fraction, or rounded to at least 2 decimal places.pointsc. Team members with IQ among the bottom 11.58% of the accepted range are required to attend extra training sessions. What should be the minimumIQ of a debater who wishes to avoid the extra training sessions?Answer in exact fraction, or rounded to at least 2 decimal places.points

Given Data : Population Mean,μ = 97 Population Standard Deviation,σ = 17

Answered: The Brac University Debate Team is…

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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LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 99 minutes and a standard deviation of 14 minutes. a. What is the probability that the new data analysts will take more than 103 minutes to learn the analysis procedure? b. What is the probability that the new data analysts will take between 65 to 134 minutes to learn the analysis procedure? c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 91.24% of new analysts?
Georgia residents spent an average of $470 on the lottery in 2010, or 1% of their personal income (www.msn.com, May 23, 2012). Suppose the amount spent on the lottery follows a normal distribution with a standard deviation of $50. If five Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500? (Round your answer to three decimal places.)
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An organization for people with high IQ, and eligibility requires an IQ above 131.5. Suppose the IQ scores are normally distributed with a mean of 102.5 and standard deviation of 16.1. If someone wants to join the organization, what is the probability that he or she meets the organization’s requirement?
Records from the Washington Department of Licensing show that 47 former SFCC business students have incorporated their own businesses in the last five years. Eight of these students are selected at random and contacted. Each is asked how many people are employed by their corporation. The responses are: 7, 12, 13, 17, 10, 5, 10, and 6 employees. What is your best estimate of the standard deviation of the number of employees for all 47 corporations?
The mean salary offered to students who are graduating from Coastal State University this year is $ 24,215 , with a standard deviation of $ 3678 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $ 24,500 or less?

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