2. The number of hours that employees work per week in Anteater company is known to follow a normal distribution with a mean of 40 hours and a standard deviation of 5 hours. 1) What is the probability that an employee selected at random from this company works overtime, defined as working more than 45 hours per week? P(x>45) = P(x-> 45-40)
2. The number of hours that employees work per week in Anteater company is known to follow a normal distribution with a mean of 40 hours and a standard deviation of 5 hours. 1) What is the probability that an employee selected at random from this company works overtime, defined as working more than 45 hours per week? P(x>45) = P(x-> 45-40)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. 4-6 please solve the following with the information provided
Transcribed Image Text:2. The number of hours that employees work per week in Anteater company is known to follow a
normal distribution with a mean of 40 hours and a standard deviation of 5 hours.
1) What is the probability that an employee selected at random from this company works overtime,
defined as working more than 45 hours per week?
P(x>45) = P(x-> 45-46)
= P(Z >1
=1 - P(Z <1
= 1 - 01841345 = 0.15865501587
mean (M)=40
& S
2) What is the probability that a randomly selected employee from this company works less than 32
hours per week?
X-M
P(X< 32) = P(ZM (32-40)
= P(Z < -1.6)
= 0,054799 ~ 10.0548)
3) What is the probability that a randomly selected employee from this company works exactly 40
hours per week?
P(X=40)=P(39,5< x < 40,5) = P( 395-40 X-M < 40,5-40)
= P(-0.1<2 20.1)
- P(Z <o.1) - P(Z <0.1)
= 0.539828 -0.460172 = 0,0796560747
Transcribed Image Text:4) What is the probability that a randomly selected employee from this company works between 35
and 42 hours per week?
5) What is the minimum number of hours that an employee must work to be in the top 20% of hours
worked in the company?
anlainos on
6) 4,238 employees of this company work more than 44 hours per week. How many people work at
the company?
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