SOLVE THE FOLLOWING: 1. The average secretary’s salary in YOKONA Company is Php38,764. Assume this is normally distributed with standard deviation of Php5100 find the following; a. probability that a randomly selected secretary’s salary is greater than Php40,000? b. probability that a randomly selected secretary’s salary is less than Php38,000?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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SOLVE THE FOLLOWING:

1. The average secretary’s salary in YOKONA Company is Php38,764. Assume this is normally distributed with standard deviation of Php5100 find the following;

a. probability that a randomly selected secretary’s salary is greater than Php40,000?

b. probability that a randomly selected secretary’s salary is less than Php38,000?

 

2. In a recent study of the lifetimes of cell phones, it is found that the average is 26.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable.

 

3. The average number of calories in a 1.5-ounce chocolate bar is 235. Suppose that the distribution of calories is approximately normal with standard deviation of 10. Find the probability that a randomly selected chocolate bar will have;

a. Between 200 and 220 calories

b. Less than 200 calories

 

4. The average credit card debt for 500 college seniors is Php3762. If the debt is normally distributed with a standard deviation of Php1100, find the following;

a. number of college seniors owes at least Php1000

b. number of college seniors owes more than Php4000

c. number of college seniors owes between Php3000 and Php4000

 

5. The average waiting time to be seated for dinner at a popular restaurant is 25.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a costumer arrives at the restaurant for dinner, find the probability that the costumer will have to wait the following time.

a. Between 15 and 22 minutes  

b. Less than 18 minutes and more than 27 minutes 

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