The population of fish in a pond is given by the function P(t), where t is the number of months after June. Interpret the statements P(0) = 1,023 and P(2) = 1,612. A. The population of fish in the pond was reduced by 589 fish and the population of fish in August was 1,612.
B. The population of fish in the pond was reduced by 589 fish and the population of fish in September was 1,612.
C. The population of fish in the pond grew by 589 fish and the population of fish in August was 1,612.
D. The population of fish in the pond grew by 589 fish and the population of fish in September was 1,612.

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the answer is ! ?

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560