I need help with a math problem

Mathematics
Tutor: None Selected Time limit: 1 Day

Telephone sales have skyrocketed this past month.  The probability that 1 of the 4 telephone lines is busy is 75%.  Therefore, currently the probability of all 4 lines being busy at the same time is about 32%.  I want to reduce the probability of all telephone lines being busy at the same time.If I add 2 more telephone lines, how much do I reduce the probability of all telephone lines being busy at the same time? (Assume the probability that any phone line is busy remains at 75%)

 
Nov 13th, 2015

Thank you for the opportunity to help you with your question!

he probability that 1 of the 4 telephone lines is busy is 75% so the probability of all 4 lines being busy at the same time is 75%*75%*75%*75% = 32% so adding 2 more phone lines, with line  busy remains at 75% will give you 75%*6 = 18%

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 13th, 2015

sorry, sorry. not 75%*6 but 75%^6

Nov 13th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 13th, 2015
...
Nov 13th, 2015
Dec 2nd, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer