A certain species of bird comes with blue, white or red feathers. Each bird can also have short veaks or long beaks. The accompanying table gives the relevant proportions of each type bird in a research laboratory. beak type long Short blue 0.38 0.04 feather type white 0.15 0.09 red 0.12 0.22 A researcher randomly selects one of the birds in the laboratory for study. a. What is the probability that the researcher selects a bird with a short beak? What is the probability that the researcher selects a bird with white feathers? b. Given that the researcher selected a blue bird what is the probability that it has a short beak? omocamGiven that a researcher did not select a blue bird, what is the probability that it has a long beak? B MCHow does this conditional probability compare to the unconditional probability that the bird has a long beak? What does this tell you about independence?
A certain species of bird comes with blue, white or red feathers. Each bird can also have short veaks or long beaks. The accompanying table gives the relevant proportions of each type bird in a research laboratory. beak type long Short blue 0.38 0.04 feather type white 0.15 0.09 red 0.12 0.22 A researcher randomly selects one of the birds in the laboratory for study. a. What is the probability that the researcher selects a bird with a short beak? What is the probability that the researcher selects a bird with white feathers? b. Given that the researcher selected a blue bird what is the probability that it has a short beak? omocamGiven that a researcher did not select a blue bird, what is the probability that it has a long beak? B MCHow does this conditional probability compare to the unconditional probability that the bird has a long beak? What does this tell you about independence?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Transcribed Image Text:A certain species of bird comes with blue, white or red feathers. Each bird can also have short
veaks or long beaks. The accompanying table gives the relevant proportions of each type bird in a
research laboratory.
beak type
long
Short
2012
blue
0.38
0.04
feather type
white
0.15
0.09
red
0.12
0.22
A researcher randomly selects one of the birds in the laboratory for study.
a. What is the probability that the researcher selects a bird with a short beak? What is the probability
that the researcher selects a bird with white feathers?
b. Given that the researcher selected a blue bird what is the probability that it has a short beak?
omocamGiven that a researcher did not select a blue bird, what is the probability that it has a long beak?
B mcHow does this conditional probability compare to the unconditional probability that the bird has a
long beak? What does this tell you about independence?
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