The article “Reliability-Based Service-Life Assessmentof Aging Concrete Structures” (J. Structural Engr.,1993: 1600–1621) suggests that a Poisson process can beused to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loadsis .5 year.a. How many loads can be expected to occur during a2-year period?b. What is the probability that more than five loadsoccur during a 2-year period?c. How long must a time period be so that the probabilityof no loads occurring during that period is at most .1?
The article “Reliability-Based Service-Life Assessmentof Aging Concrete Structures” (J. Structural Engr.,1993: 1600–1621) suggests that a Poisson process can beused to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loadsis .5 year.a. How many loads can be expected to occur during a2-year period?b. What is the probability that more than five loadsoccur during a 2-year period?c. How long must a time period be so that the probabilityof no loads occurring during that period is at most .1?
The article “Reliability-Based Service-Life Assessmentof Aging Concrete Structures” (J. Structural Engr.,1993: 1600–1621) suggests that a Poisson process can beused to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loadsis .5 year.a. How many loads can be expected to occur during a2-year period?b. What is the probability that more than five loadsoccur during a 2-year period?c. How long must a time period be so that the probabilityof no loads occurring during that period is at most .1?
The article “Reliability-Based Service-Life Assessment of Aging Concrete Structures” (J. Structural Engr., 1993: 1600–1621) suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is .5 year. a. How many loads can be expected to occur during a 2-year period? b. What is the probability that more than five loads occur during a 2-year period? c. How long must a time period be so that the probability of no loads occurring during that period is at most .1?
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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