(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 magneticsusceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for arandomly 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 × 10-6MagneticSusceptibility0 < x < 10Number ofEstimatedComment"cool"Readings24/120 :Probability24= 0.20"neutral""warm""very interesting""hot spot"60/120 = 0.5018/120 = 0.1512/120 = 0.10= 0.0510 < x < 206020 < x < 301830 < x < 401240 < x6/120Consider 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

(b) The conditions for normal approximation to the binomial are, Thus, the normal approximation for…

Answered: Magnetic surveying is one technique…

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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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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