大师作文网概率统计初步In USA,2% of the 2 million students who take the SAT e
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概率统计初步
In USA,2% of the 2 million students who take the SAT each year receive special accommodations because of disasbilities.Consider a random sample of 25 students who have recently taken the test.What's the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?
In USA,2% of the 2 million students who take the SAT each year receive special accommodations because of disasbilities.Consider a random sample of 25 students who have recently taken the test.What's the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?
think about 0-1 distribution,
n = 25,p = 0.02.
np = 0.5,
np(1-p) = 0.5*(1-0.02) = 0.49.
X can be treated as normal distribution N(0.5,0.49)
Y = (X - 0.5)/0.7 N(0,1)
then,
the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated
= P{|Y|
n = 25,p = 0.02.
np = 0.5,
np(1-p) = 0.5*(1-0.02) = 0.49.
X can be treated as normal distribution N(0.5,0.49)
Y = (X - 0.5)/0.7 N(0,1)
then,
the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated
= P{|Y|
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