Question

Data from service records show that the time to repair a certain machine is normally distributed with a mean of 65 min and a standard deviation of 5 min. Estimate how often it will take more than 75 min to repair a machine.

Answer 1

Program plan:

• To write a matlab code to find the percent of times the service time is more than 75 min to service the machine.

Program:

%**********************************************************

%A matlab code is written to estimate how often it will

%take more than 75 min to repair the machine.

%**********************************************************

%Declaration of mean

mu=65;

%Declaration of standard deviation

sigma=5;

%Computes the value

z=(75-mu)/sigma;

%Computes the value of percent of time taken for the task to be completed

%after 75 min

p=100*((1-erf(z/sqrt(2)))/2);

%Displays text

disp(\'Percent\');

%Displays value

disp(p);

 

Output:

>> Untitled

Percent

          2.2750

Program plan:

• To write a matlab code to find the percent of times the service time is more than 75 min to service the machine.