2. The average daily income of 2000 workers is Php 185.00 with a standard deviation of Php 18.00. Assuming that the daily income is normally distributed, a. Find the number of workers having salaries between Php 178.50 and Php 195.50. b. Find the salary of Roman if 33% of the workers receive lower than him. c. Find the salary of Alex if 5% of the workers receive higher than him.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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EXAMPLE 6:
Find the percentage for the following scores, still using the given
information in Example 5.
a. between 12 and 35
b. less than 25
C. greater than 27
d. less than 18 and greater than 24
GIVEN:
N- 200
- 30
SOLUTION:
a. between 12 and 35
A-A+ A
A- 0.4878 + 0.2357
Z- 0.63
Aa-0.2357
Z--1.25
A-0.7235
P- 72,35%
A- 0.4878
-1 0 1 2
b. less than 25
25-30
A-0.5- A
A0.5 - 0.2357
A- 0.2643
P- 26.43%
Z- 0.63
A - 0.2357
-3 -2 -1 0
2
Transcribed Image Text:EXAMPLE 6: Find the percentage for the following scores, still using the given information in Example 5. a. between 12 and 35 b. less than 25 C. greater than 27 d. less than 18 and greater than 24 GIVEN: N- 200 - 30 SOLUTION: a. between 12 and 35 A-A+ A A- 0.4878 + 0.2357 Z- 0.63 Aa-0.2357 Z--1.25 A-0.7235 P- 72,35% A- 0.4878 -1 0 1 2 b. less than 25 25-30 A-0.5- A A0.5 - 0.2357 A- 0.2643 P- 26.43% Z- 0.63 A - 0.2357 -3 -2 -1 0 2
2. The average daily income of 2000 workers is Php 185.00 with a
standard deviation of Php 18.00. Assuming that the daily income is
normally distributed,
a. Find the number of workers having salaries between Php 178.50
and Php 195.50.
b. Find the salary of Roman if 33% of the workers receive lower
than him.
c. Find the salary of Alex if 5% of the workers receive higher than
him.
Transcribed Image Text:2. The average daily income of 2000 workers is Php 185.00 with a standard deviation of Php 18.00. Assuming that the daily income is normally distributed, a. Find the number of workers having salaries between Php 178.50 and Php 195.50. b. Find the salary of Roman if 33% of the workers receive lower than him. c. Find the salary of Alex if 5% of the workers receive higher than him.
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