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Magnetic surveying is one technique used by archaeologists to determine anomalie

ID: 2945752 • Letter: M

Question

Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings, centimeter-gram-second x 10-6 (cma x 10-6 Magnetic Susceptibilit 0 x

Explanation / Answer

(b) In a series of Bernoulli trials (independent trials with constant probability p of success),

let the random variable X denote the number of trials until the first success.

Then, X is a geometric random variable with parameter p such that 0 < p < 1 and the probability mass function of X is f(x) = (1 ? p)^(x?1) * p for x = 1, 2, 3, . . .

= = p + (1 ? p)p + (1 ? p)^2 *p + · · ·..

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