In analyzing hits by bombs in a past war, a city was subdivided into 639 regions, each with an area of 0.5-mi². A total of 555 bombs hit the combined area of 639 regions. (a) Find the mean number of hits per region: mean = (b) If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.) (c) Based on the probability found above, how many of the 639 regions are expected to be hit exactly twice?
In analyzing hits by bombs in a past war, a city was subdivided into 639 regions, each with an area of 0.5-mi². A total of 555 bombs hit the combined area of 639 regions. (a) Find the mean number of hits per region: mean = (b) If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.) (c) Based on the probability found above, how many of the 639 regions are expected to be hit exactly twice?
In analyzing hits by bombs in a past war, a city was subdivided into 639 regions, each with an area of 0.5-mi². A total of 555 bombs hit the combined area of 639 regions. (a) Find the mean number of hits per region: mean = (b) If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.) (c) Based on the probability found above, how many of the 639 regions are expected to be hit exactly twice?
In analyzing hits by bombs in a past war, a city was subdivided into 639 regions, each with an area of 0.5-mi². A total of 555 bombs hit the combined area of 639 regions.
(a) Find the mean number of hits per region: mean =
(b) If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.)
(c) Based on the probability found above, how many of the 639 regions are expected to be hit exactly twice?
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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