A gasoline tank for a certain model car is designed to hold 15.6 gallons of gas. Suppose that the actual capacity of the gas tank in cars of this type is well approximated by a normal distribution with mean 15.6 gallons and standard deviation 0.3 gallons. What is the probability that a randomly selected car of this model will have a gas tank that holds less than 15 gallons?
A gasoline tank for a certain model car is designed to hold 15.6 gallons of gas. Suppose that the actual capacity of the gas tank in cars of this type is well approximated by a normal distribution with mean 15.6 gallons and standard deviation 0.3 gallons. What is the probability that a randomly selected car of this model will have a gas tank that holds less than 15 gallons?
A gasoline tank for a certain model car is designed to hold 15.6 gallons of gas. Suppose that the actual capacity of the gas tank in cars of this type is well approximated by a normal distribution with mean 15.6 gallons and standard deviation 0.3 gallons. What is the probability that a randomly selected car of this model will have a gas tank that holds less than 15 gallons?
A gasoline tank for a certain model car is designed to hold 15.6 gallons of gas. Suppose that the actual capacity of the gas tank in cars of this type is well approximated by a normal distribution with mean 15.6 gallons and standard deviation 0.3 gallons. What is the probability that a randomly selected car of this model will have a gas tank that holds less than 15 gallons?
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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