Last NBA season, Rudy Gobert of Minnesota Timberwolves had the league's highest field goal percentage of 0.713, that is, he scored 71.3% of his shots. Suppose you randomly choose 80 shots made by Gobert at various games last season. Let X be the number of shots that he scored points. a) What is the probability distribution of X? b) Find the mean and the standard deviation of X. c) What is the probability that Golbert scored 60 of these shots? d) What is the probability the he scored more than 50 of these shots
Last NBA season, Rudy Gobert of Minnesota Timberwolves had the league's highest field goal percentage of 0.713, that is, he scored 71.3% of his shots. Suppose you randomly choose 80 shots made by Gobert at various games last season. Let X be the number of shots that he scored points. a) What is the probability distribution of X? b) Find the mean and the standard deviation of X. c) What is the probability that Golbert scored 60 of these shots? d) What is the probability the he scored more than 50 of these shots
Last NBA season, Rudy Gobert of Minnesota Timberwolves had the league's highest field goal percentage of 0.713, that is, he scored 71.3% of his shots. Suppose you randomly choose 80 shots made by Gobert at various games last season. Let X be the number of shots that he scored points. a) What is the probability distribution of X? b) Find the mean and the standard deviation of X. c) What is the probability that Golbert scored 60 of these shots? d) What is the probability the he scored more than 50 of these shots
Last NBA season, Rudy Gobert of Minnesota Timberwolves had the league's highest field goal percentage of 0.713, that is, he scored 71.3% of his shots. Suppose you randomly choose 80 shots made by Gobert at various games last season. Let X be the number of shots that he scored points. a) What is the probability distribution of X? b) Find the mean and the standard deviation of X. c) What is the probability that Golbert scored 60 of these shots? d) What is the probability the he scored more than 50 of these shots
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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