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) centimeter-gram-second × 10-6 Magnetic Susceptibility 0 < x < 10 Number of Estimated Comment "cool" Readings 24/120 : Probability 24 = 0.20 "neutral" "warm" "very interesting" "hot spot" 60/120 = 0.50 18/120 = 0.15 12/120 = 0.10 = 0.05 10 < x < 20 60 20 < x < 30 18 30 < x < 40 12 40 < x 6/120 Consider a binomial setting in which "neutral" is defined to be a success. So, p = binomial random variable that represents the number of "neutral" geomagnetic readings. P(success) = P(10 < x < 20). Suppose n = 45 geomagnetic readings are taken. Let r be a

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(b) Use the normal distribution to approximate the probability that there will be at least 18 "neutral" readings out of these 45 trials. (Round your answer to four decimal places.)

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)
centimeter-gram-second × 10-6
Magnetic
Susceptibility
0 < x < 10
Number of
Estimated
Comment
"cool"
Readings
24/120 :
Probability
24
= 0.20
"neutral"
"warm"
"very interesting"
"hot spot"
60/120 = 0.50
18/120 = 0.15
12/120 = 0.10
= 0.05
10 < x < 20
60
20 < x < 30
18
30 < x < 40
12
40 < x
6/120
Consider a binomial setting in which "neutral" is defined to be a success. So, p =
binomial random variable that represents the number of "neutral" geomagnetic readings.
P(success) = P(10 < x < 20). Suppose n = 45 geomagnetic readings are taken. Let r be a
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) centimeter-gram-second × 10-6 Magnetic Susceptibility 0 < x < 10 Number of Estimated Comment "cool" Readings 24/120 : Probability 24 = 0.20 "neutral" "warm" "very interesting" "hot spot" 60/120 = 0.50 18/120 = 0.15 12/120 = 0.10 = 0.05 10 < x < 20 60 20 < x < 30 18 30 < x < 40 12 40 < x 6/120 Consider a binomial setting in which "neutral" is defined to be a success. So, p = binomial random variable that represents the number of "neutral" geomagnetic readings. P(success) = P(10 < x < 20). Suppose n = 45 geomagnetic readings are taken. Let r be a
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