1. In a population of high school students' algebra scores, the mean is 64 and the standard deviation is 6. Find the z values that corresponds to a score x = 81. (5points)

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
Activì ty Time
Name:
Grade & Sec:
Activity #5: Applications of Normal distribution
Solve the following.
1. In a population of high school students' algebra scores, the mean is 64 and the
standard deviation is 6. Find the z values that corresponds to a score x = 81. (5points)
2. In a certain university, the students were informed that they need a grade in the top 8%
of the engineering students to get a scholarship for the next semester. In the
standardization of the test, the mean was 76 and the standard deviation is 14. Assuming
that the grade is normally distributed, what must be the minimum grade to obtain the
scholarship grant. (5points)
3. The average loan of an employee is Php18,200. If the debt is normally distributed with
a standard deviation of Php6,150, find the probabilities;
a. that the employee owes more than Php20,000. (5points)
b. that the employee owes between Php10,000 and Php25,000. (5points)
Transcribed Image Text:Activì ty Time Name: Grade & Sec: Activity #5: Applications of Normal distribution Solve the following. 1. In a population of high school students' algebra scores, the mean is 64 and the standard deviation is 6. Find the z values that corresponds to a score x = 81. (5points) 2. In a certain university, the students were informed that they need a grade in the top 8% of the engineering students to get a scholarship for the next semester. In the standardization of the test, the mean was 76 and the standard deviation is 14. Assuming that the grade is normally distributed, what must be the minimum grade to obtain the scholarship grant. (5points) 3. The average loan of an employee is Php18,200. If the debt is normally distributed with a standard deviation of Php6,150, find the probabilities; a. that the employee owes more than Php20,000. (5points) b. that the employee owes between Php10,000 and Php25,000. (5points)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON