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Question: Let T be the time until a radioactive particle decays, and suppose (as is often done in physics and chemistry) that T Expo(λ).
(a) The half-life of the particle is the time at which there is a 50% chance that the particle has decayed (in statistical terminology, this is the median of the distribution of T). Find the half-life of the particle.
(b) Show that for ? a small, positive constant, the probability that the particle decays in the time interval [t, t + ?], given that it has survived until time t, does not depend on t and is approximately proportional to ?.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
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MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
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