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g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have the pattern. In the common subspecies, 5% have the pattern. The rare subspecies accounts for 1% of the population. Given that a beetle has the pattern, what is the probability that it belongs to the rare subspecies

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Answer:

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Step-by-step explanation:

Probability of having a pattern in rare subspecies [tex]= 0.98\\[/tex]

Percentage of rare subspecies = 1 % = 0.01

Probability of a beetle with pattern belonging to rare subspecies is

[tex]=0.01 * 0.98 \\= 0.098[/tex]

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