lamda = @ P(X>t)= e^(-@t) I understand that this is the probability of an atomo
ID: 3317654 • Letter: L
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lamda = @
P(X>t)= e^(-@t) I understand that this is the probability of an atomo is surve ater time t.
What is the 100/10^20 representing? Is it represent the portion of atoms survial after time =t?
If so, the probability we used to in P(X>T) is about an single atomo, not the rock (the 10^20 atoms)
2. A piece of rock contains 1020 atoms of a particular substance. Each atom has an expo- nentially distributed lifetime with a half-life of one century. How many centuries must pass before a) t is most likely that about 100 atoms remain b) there is about a 50% chance that at least one atom remains. What assumptions are you making?Explanation / Answer
It is continuous distribution with mean Mu.
In probability theory and statistics, the exponential distribution (also known as negative exponential distribution) is the probability distribution that describes the time between events in a Poisson point process, i.e. a process in which events occur continuously and independently at a constant average rate.
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