document.write( "Question 815721: According to a survey, college students make an average of 11 calls per day on their mobile phone. Moreover, 80% of the students surveyed indicated that their parents pay for their mobile phone expenses.\r
\n" ); document.write( "\n" ); document.write( "If 20 students are selected at random, what is the probability that:
\n" ); document.write( "(i) All 20 have their parents pay for their mobile phone expenses?
\n" ); document.write( "(ii) At least 8 have their parents pay for their mobile phone expenses?
\n" ); document.write( "(iii) No more than 5 students pay for their own mobile phone expenses?\r
\n" ); document.write( "\n" ); document.write( "p=0.8 q=0.2\r
\n" ); document.write( "\n" ); document.write( "(ii) P(x≥8)= 1- P(x<8)
\n" ); document.write( " = 1- 1 - P(0) - P(1)....P(8)???
\n" ); document.write( " = 1- 20C0(0.8)^0(O.2)^20.....20C7(O.8)^7(0.2)^13 ???\r
\n" ); document.write( "\n" ); document.write( "Can you help me to solve all this questions?im lost...thank you very much for your coorporation.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #491200 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "80% of the students surveyed indicated that their parents pay for their mobile phone expenses. 20 students selected at random.
\n" ); document.write( "Binomial Probability Distribution Values:
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p = .8 & q = .2 and n = 20 nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"\r
\n" ); document.write( "\n" ); document.write( "(i) P(x=20) = (.8)^20(.2)^0 = .0115 0r 1.15%
\n" ); document.write( "(ii) At least 8 have their parents pay for their mobile phone expenses?
\n" ); document.write( "P(x≥8)= 1- P(x≤7)** TI Calculator: 1 - binomcdf(20,.80,7)= .999998
\n" ); document.write( "excel function : 1 - BINOMDIST(7,20,0.8,TRUE)
\n" ); document.write( "(iii) No more than 5 students pay for their own mobile phone expenses?
\n" ); document.write( " TI Calculator: binomcdf(20,.80,5) = .00000018
\n" ); document.write( "excel function : BINOMDIST(5,20,0.8,TRUE)
\n" ); document.write( "If You do not have access to a TI Calculator or an Excel Worksheet,
\n" ); document.write( "might recommend STATTREK.com as a reference. \n" ); document.write( "
\n" );