If Qo is the quantity of radioactive carbon-14 in an organism at the time of death, the quantity, Q. remaining t years later is given by Q = Qoe^-0.0001211

(a) A skull uncovered at an archeological dig has 16% of the original amount of carbon-14 present. Estimate its age.
Round your answer to the nearest integer.

(b) Calculate the half-life of the carbon-14. Round your answer to the nearest interger.

Actually i was looking for question b i need it too

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