Question

the presidents press conference is being shown nationally on channels 2, 4, 7, and 8. Of the 6 television sets randomly tuned in to the news program at Ella's Electronic Expo, what is the probability that at least half are tuned to channel 8?
1)162/2048
2)347/2048
3)1/2
4)1701/2048

Answer 1

The probability that a TV set is tuned to channel 8 is 1/4. We can use the binomial distribution to find the probability that at least half are tuned to channel 8 as follows:
\[P(3\ sets\ on\ Ch 8)=6C3\times0.25^{3}\times0.75^{3}\]
\[P(4\ sets\ on\ Ch\ 8)=6C4\times0.25^{4}\times0.75^{2}\]
\[P(5\ sets\ on\ Ch\ 8)=6C5\times0.25^{5}\times0.75^{1}\]
\[P(6\ sets\ on\ Ch\ 8)=0.25^{6}\]
When you have calculated the four values of probability, add them to find the required probability.

Answer 2

Ok I get it now. Thank you. You get a metal.

Answer 3

You're welcome :)