A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.
A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.
A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.
A company owns 40 factories throughout the country. The number of serious injuries in a calendar year that occur at each factory follows a Poisson distribution with mean 7. Each factory has the same distribution and all factories are independent of each other. If a factory has 10 or more serious injuries in a calendar year, OSHA visits the factory for an official inquiry. If OSHA opens an official inquiry into 8 or more of the company's factories in a calendar year, then OSHA fines the company. Compute the probability OSHA fines the company next year.
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 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
