Crc Health Group
I have a math question help!!?
According to data from the CRC Health Group (http://www.overweightteen.com/statistics.html), about 25 percent of young people (ages 12–21 years) participate in light to moderate activity (e.g., walking, bicycling) nearly every day. Suppose four young people in this age group are randomly chosen. Let x denote the number of individuals in this sample of four who participate in light to moderate activity nearly every day.
1) Create a probability distribution for the random variable x in the table below.
2) Based on the probability distribution, find the fractional probability that at least two young people in a sample of four participate in light to moderate activity nearly every day.
3) Find the expected value and variance of the random variable x.
x | p(x)
———–
0 |
1 |
2 |
3 |
4 |
1) p(x)=4Cx[(1/4)^x][(3/4)^(4-x)]
x | p(x)
———–
0 |0.316
1 |0.422
2 |0.211
3 |0.047
4 |0.004
…………………………..4
2) P(2=
………………………..x=2
…………………….=(54+4+1)/256
…………………….=59/256
3)E(x)=4(1/4)=1; var.=4(1/4)(3/4)=3/4
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