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 ✕ 10−6 (cmg ✕ 10−6) |
|||
Comment | Magnetic Susceptibility |
Number of Readings |
Estimated Probability |
"cool" |
0 ≤ x < 10 |
24 | 24/120 = 0.20 |
"neutral" |
10 ≤ x < 20 |
60 | 60/120 = 0.50 |
"warm" |
20 ≤ x < 30 |
24 | 24/120 = 0.20 |
"very interesting" |
30 ≤ x < 40 |
6 | 6/120 = 0.05 |
"hot spot" |
40 ≤ x |
6 | 6/120 = 0.05 |
For a site chosen at random, estimate the following probabilities.
(a)
P(0 ≤ x < 30)
1
(b)
P(10 ≤ x < 40)
2
(c)
P(x < 20)
3
(d)
P(x ≥ 20)
4
(e)
P(30 ≤ x)
5
(f)
P(x not less than 10)
6
(g)
P(0 ≤ x < 10 or 40 ≤ x)
7
(h)
P(40 ≤ x and 20 ≤ x)
8
Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic...
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 archaeclogical research location. A random sample of 120 sites gave the readings shown in the table below Magnetic Susceptibility Readings, centimeter-gram-second x 10 (cmg Magnetic Susceptibility 0SK10 10 Sx<20...
Magnetic surveying is one technique used by might not) indicate an important archaeological discovery. Let x be a random research location A random sample of 120 sites gave the readings shown in the tabile belovw s archaeologists to determine anomalies anising from varlations n magnetic suscegtibility Unusual changes in megnetic suscepbuly ght or varlable that represents a magnetic susceptiblity (MS) reading for a randomly chosen ste st an rchelogical centimeter-gram-second-10-(emg 10-) Magnetic Number of Estimated 36 48 12 18 6/120-0.30...
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