The scores on a job aptitiude test are normally distributed with mean 400 and standard deviation 100. The company will consider only those applicants scoring in the top 15%. a) Find the cutoff score (that is, the lowest score that the company will consider) b) Will a candidate with score 502 be considered? Why or why not? c) In a random sample of fiva applicants, what is the probability that thier total score is at least 1500 and at most 2300? d) In a random sample of five applicants, what is the probability that at least 2 of them are in the top 15%?

The scores on a job aptitiude test are normally distributed with mean 400 and standard deviation 100. The company will consider only those applicants scoring in the top 15%. a) Find the cutoff score (that is, the lowest score that the company will consider) b) Will a candidate with score 502 be considered? Why or why not? c) In a random sample of fiva applicants, what is the probability that thier total score is at least 1500 and at most 2300? d) In a random sample of five applicants, what is the probability that at least 2 of them are in the top 15%?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

The scores on a job aptitiude test are normally distributed with mean 400 and standard deviation 100. The company will consider only those applicants scoring in the top 15%.

a) Find the cutoff score (that is, the lowest score that the company will consider)

b) Will a candidate with score 502 be considered? Why or why not?

c) In a random sample of fiva applicants, what is the probability that thier total score is at least 1500 and at most 2300?

d) In a random sample of five applicants, what is the probability that at least 2 of them are in the top 15%?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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