71.1k views
3 votes
Problem 1 [4 pts]: The maintenance cost of machines are uniformly distributed from 0 to 160 (dollars). If a random sample of 75 machines is taken from a factory, (a). find the mean aggregate (total) maintenance cost for a sample of 75 machines.

1 Answer

6 votes

Answer:

$6,000

Explanation:

The mean value of a sample is assumed to be the same as the mean of the population. The mean of a uniformly distributed variable between 0 and 160 is:


M = (0+160)/(2)\\ M=\$80

If the mean cost for each machine is $80, the mean aggregate cost for a sample of 75 machines is:


M_(75)=75*\$80\\M_(75)=\$6,000

The mean aggregate maintenance cost is $6,000.

User Ayoub Touba
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories