**Problem 3:** The grade point averages of a large population of college students is approximately normally distributed with a mean of 2.4 and a standard deviation of 0.8. What fraction of the students will possess a grade point average in excess of 3.0?**Problem 4:** Refer to problem 3. If students possessing a grade point average less than 1.9 are dropped from the college, what percentage of the students will be dropped?

Let X be the grade point average of large population of college students.Given, X is approximately…

Answered: 3) The grade point averages of a large…

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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16.
7. A distribution with u = 35 and s = 8 is being standardized so that the new mean and standard deviation will be u = 50 and s = 10. In the new, standardized distribution your score is X = 45. What was your score in the %3D original distribution?
13)Many graduate schools require applicants to take the GRE for admission. The mean GRE score worldwide is 149.7 with a standard deviation of 8.2. The recommended overall GRE score for admission at UC Berkeley is 153 Q) If an applicant were to obtain a score of 123, how many standard deviations away is this score from the mean?
Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?
30. The distribution of weights for 12-month-old baby girls in the US is ap- proximately normal with mean u = 21 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old girl weighs 23.2 pounds, approximately what weight percentile is she in? b) If a 12-month-old girl is in the 16th percentile in weight, estimate her weight. c) Estimate the weight of a 12-month-old girl who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old girl who is in the 75th percentile by weight.
15. A sample has a mean M = 75. In the sample, a score of X = 95 corresponds to z = 2.5 What is the standard deviation for the sample?
if a variable has a distribution that is bell-shaped with mean 21 and standard deviation 7, then according to the Empirical Rule, what percent of the data will lie between 0 and 42?
4. A normally distributed set of 1,010 values has a mean of 103 and a standard deviation of 12. Which is closest to the number of values expected to be below 88?
6. A comparison of life expectancy in random samples of 40 less-developed countries and 31 industrialized countries reveals the following (fictional) data. The standard deviations are significantly different from one another. Is there a significant difference in mean life expectancy between countries with these two levels of economic development? X=life expectancy of the resident at birth. Less-Developed Countries Mean=66.1 years N=40 Standard error of the difference between means=.60 Industrialized Countries Mean=76.7 years N=31
A normal population has a mean μ = 31 and standard deviation = 8. What proportion of the population is less than 29?

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