surveying used by anomalles arising from varlations susceptibimty mighi ndicate 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 andom sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings, centimeter-gram-second x 10-6 (cmg × 10-6) Magnetic Susceptibility OSx< 10 10 sx< 20 20 sx < 30 30 < x < 40 40 SX Number of Readings Estimated Probability 24/120 = 0.20 60/120 = 0.50 24/120 = 0.20 6/120 = 0.05 6/120 = 0.05 Comment "cool" "neutral" 24 60 "warm" 24 "very interesting" "hot spot" 6 Suppose you are working in a "warm" region in which all MS readings are 20 or higher. In this same region, what is the probability that you will find a "hot spot" in which the readings are 40 or higher Jse conditional probability to estimate P(40sx| 20 < x). (Round your answer to three decimal places.) P(40 < x | 20 s 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,
centimeter-gram-second x 10-6
Magnetic
Susceptibility
0 < x < 10
10 < x < 20
20 < x < 30
(cmg x 10-6)
Number of
Estimated
Readings
24
Comment
Probability
24/120
60/120
24/120
6/120
6/120
= 0.20
0.50
"сool"
"neutral"
60
"warm"
24
= 0.20
"very interesting"
"hot spot"
30 < x < 40
6.
= 0.05
40 < x
6.
= 0.05
Suppose you are working in a "warm" region in which all MS readings are 20 or higher. In this same region, what is the probability that you will find a "hot spot" in which the readings are 40 or higher?
Use conditional probability to estimate P(40 < x | 20 < x). (Round your answer to three decimal places.)
P(40 < x | 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, centimeter-gram-second x 10-6 Magnetic Susceptibility 0 < x < 10 10 < x < 20 20 < x < 30 (cmg x 10-6) Number of Estimated Readings 24 Comment Probability 24/120 60/120 24/120 6/120 6/120 = 0.20 0.50 "сool" "neutral" 60 "warm" 24 = 0.20 "very interesting" "hot spot" 30 < x < 40 6. = 0.05 40 < x 6. = 0.05 Suppose you are working in a "warm" region in which all MS readings are 20 or higher. In this same region, what is the probability that you will find a "hot spot" in which the readings are 40 or higher? Use conditional probability to estimate P(40 < x | 20 < x). (Round your answer to three decimal places.) P(40 < x | 20 < x) =
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The formula for calculating the conditional probability is:

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