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30 Jun 2025, 13:32
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Completing migration Probability - p , Not Completing (1-p)
Total Penguin = k
Total probability for all completing = p*p*p....k times = p^k = .05
No penguin complete = (1-p)^k
: E - Cannot be determined.
Total Penguin = k
Total probability for all completing = p*p*p....k times = p^k = .05
No penguin complete = (1-p)^k
: E - Cannot be determined.
30 Jun 2025, 13:35
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E. Cannot be determined since no of penguins is not known. Probability to find none is not 1- probability of all since either 1 or 2 or 3 etc, can complete their migration which is not necessarily all of the penguins
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30 Jun 2025, 14:12
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For total n penguins:
If p = each penguin's probability of succeeding migration, then
P(all n penguins succeed migration) = p^n = 0.05 <=> p = (0.05)^(1/n)
Since each penguin has the same probability of succeeding it, it will have the same probability of failing it = 1-p
P(all n penguins fail migration) = (1−p)^n
However, without the information about the total size n, we cannot compute this probability, only write the general form in terms of n.
P(all n penguins fail migration) = (1−p)^n = (1-0.05^(1/n))^n => we need n to solve this equation.
Answer: E Cannot be determined from the given information
If p = each penguin's probability of succeeding migration, then
P(all n penguins succeed migration) = p^n = 0.05 <=> p = (0.05)^(1/n)
Since each penguin has the same probability of succeeding it, it will have the same probability of failing it = 1-p
P(all n penguins fail migration) = (1−p)^n
However, without the information about the total size n, we cannot compute this probability, only write the general form in terms of n.
P(all n penguins fail migration) = (1−p)^n = (1-0.05^(1/n))^n => we need n to solve this equation.
Answer: E Cannot be determined from the given information
