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, (cmg x 10-6) Number of centimeter-gram-second × 10-6 Magnetic Susceptibility 0 < x < 10 10 < x < 20 20 < x < 30 30 < x < 40 Estimated Readings 24 Comment Probability 24/120 = 0.20 60/120 18/120 12/120 6/120 : "cool" "neutral" 60 0.50 "warm" = 0.15 = 0.10 = 0.05 18 "very interesting" "hot spot" 12 6. 40 < x For a site chosen at random, estimate the following probabilities. (a) P(0 < x < 30) (b) P(10 < x < 40) (c) P(x < 20) (d) P(x 2 20) (e) P(30 < x) (f) P(x not less than 10) (g) P(0 < x < 10 or 40 < x) (h) P(40 < x and 20 < x)

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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,
(cmg x 10-6)
Number of
centimeter-gram-second × 10-6
Magnetic
Susceptibility
0 < x < 10
10 < x < 20
20 < x < 30
30 < x < 40
Estimated
Readings
24
Comment
Probability
24/120 = 0.20
60/120
18/120
12/120
6/120 :
"cool"
"neutral"
60
0.50
"warm"
= 0.15
= 0.10
= 0.05
18
"very interesting"
"hot spot"
12
6.
40 < x
For a site chosen at random, estimate the following probabilities.
(a) P(0 < x < 30)
(b) P(10 < x < 40)
(c) P(x < 20)
(d) P(x 2 20)
(e) P(30 < x)
(f) P(x not less than 10)
(g) P(0 < x < 10 or 40 < x)
(h) P(40 < x and 20 < x)
Transcribed Image Text: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, (cmg x 10-6) Number of centimeter-gram-second × 10-6 Magnetic Susceptibility 0 < x < 10 10 < x < 20 20 < x < 30 30 < x < 40 Estimated Readings 24 Comment Probability 24/120 = 0.20 60/120 18/120 12/120 6/120 : "cool" "neutral" 60 0.50 "warm" = 0.15 = 0.10 = 0.05 18 "very interesting" "hot spot" 12 6. 40 < x For a site chosen at random, estimate the following probabilities. (a) P(0 < x < 30) (b) P(10 < x < 40) (c) P(x < 20) (d) P(x 2 20) (e) P(30 < x) (f) P(x not less than 10) (g) P(0 < x < 10 or 40 < x) (h) P(40 < x and 20 < x)
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