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

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