Based on the findings, the average monthly salary of 800 college professors in the university belt area is normally distributed with a mean of Php 55,000.00 and a standard deviation of Php. 5,000.00. Find: (a) The z-score of a professor with an income of Php 65,000.00 (b) The probability that a randomly selected professor has a monthly salary of Php 60,000.00 (c) The probability that a randomly selected professor has a monthly salary between Php 45,000.00 and Php 58,000.00.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Based on the findings, the average monthly salary of 800 college professors in the university
belt area is normally distributed with a mean of Php 55,000.00 and a standard deviation of Php.
5,000.00. Find:
(a) The z-score of a professor with an income of Php 65,000.00
(b) The probability that a randomly selected professor has a monthly salary of Php
60,000.00
(c) The probability that a randomly selected professor has a monthly salary between Php
45,000.00 and Php 58,000.00.
Transcribed Image Text:Based on the findings, the average monthly salary of 800 college professors in the university belt area is normally distributed with a mean of Php 55,000.00 and a standard deviation of Php. 5,000.00. Find: (a) The z-score of a professor with an income of Php 65,000.00 (b) The probability that a randomly selected professor has a monthly salary of Php 60,000.00 (c) The probability that a randomly selected professor has a monthly salary between Php 45,000.00 and Php 58,000.00.
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