A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that: It will take more than 185 minutes to deal with a reported leak . It will take between 50 minutes and 125 minutes to deal with a reported leak.
A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that: It will take more than 185 minutes to deal with a reported leak . It will take between 50 minutes and 125 minutes to deal with a reported leak.
A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that: It will take more than 185 minutes to deal with a reported leak . It will take between 50 minutes and 125 minutes to deal with a reported leak.
A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that:
It will take more than 185 minutes to deal with a reported leak .
It will take between 50 minutes and 125 minutes to deal with a reported leak.
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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