(1, 5 pts each) Consider a forest with a population of birds living in it. The p
ID: 3045022 • Letter: #
Question
(1, 5 pts each) Consider a forest with a population of birds living in it. The population has 1,600 green birds a nd 2,000 enow birds: this population is big enough that we can consider samples taken from it to be samples with replacement Provide all answers to the closest 0.0001-if we randomly select 7 birds from the population. ... (a) What is the probability that we select only yellow birds? p(5g,2y)- (b) What is the probability that we select 5 green and 2 yellow birds? p/3g) (c) What is the probability that we select more than 3 green birds? pl5y or 6y,- (d) What is the probability that we select 5 or 6 yellow birds?Explanation / Answer
P( green)=1600/3600= 0.4444
P(yellow)=2000/3600=0.5555
a) P( 7 yellow)=0.5555^7=0.01632
b)P(5g 2y)= 7C2* 0.4444^5*0.5555^2=21* 0.4444^5*0.5555^2=0.1123
c)P( G>3)=0.37995211764
d)P(5 0r 6 Y) = 7C5* 0.4444^2*0.5555^5 +7C6*0.4444^1*0.5555^6=21* 0.4444^2*0.5555^5 +7*0.4444^1*0.5555^6=0.3107
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