6. In a university scholarship program, anyone with a grade point average over 7.5 receives a $1,000scholarship, anyone with an average between 7.0 and 7.5 receives $500, anyone with an averagebetween 6.5 and 7.0 receives $100, and all others receive nothing. A particular class of 500students has an overall average of 4.8 with a standard deviation of 1.2. Calculate the cost to theuniversity of supplying scholarships for this class. State any assumption.

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Answered: 6. In a university scholarship program,…

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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Similar questions

2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
3. The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = Person 2 (X) = 3 hours, z= Person 3 (X) = 4 hours, z=
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?
7.
3. Based on a survey, the average monthly allowance of the international students in Oxford University is ₱25,000 with a standard deviation of ₱1,000.00. The monthly allowance is normally distributed, what is the z-score of an international student with a monthly allowance of ₱23,000.
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?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
6.
B. Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper. 3. The Candelaria Automobile Association reports that the average time it takes to respond to an emergency call is 30 minutes. Assume the variable is normally distributed and the standard deviation is 4.5 minutes. How long will a call be responded if it has a z-score of 0.75? d 4. The average monthly salary for newly - hired teachers is P21,945. If the distribution is approximately normal with a standard deviation of P3250. How much will a teacher earn in a month if his salary has a z-score of 1.15?
Solve the following. Show the complete solution. 1. The daily income of bank auditors in SSS Commercial Bank is normally distributed with a mean ₱675 and a standard deviation of ₱50. What is the z value for the income X of a bank auditor who earns ₱750 daily? For an auditor who earns ₱550 daily? 2. The length of time needed for service a motorcycle at ETS Service Station is normally distributed with a mean of 6.5 minutes and standard deviation of 1.5 minutes. What is the probability that a randomly selected motorcycle will require more than 7 minutes of service or under 5.5.minutes of service?

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