The arithmetic mean and median are measures of central tendency that are commonly used to summarize a data set. The arithmetic mean is the average value of the data set, calculated by adding all the …

The mean, standard deviation, and variance are measures of central tendency and dispersion that are commonly used to summarize a data set. The mean is the average value of the data set, calculated by…

When two dice are rolled at the same time, there are a total of 6×6=36 possible outcomes. Out of these 36 outcomes, there are 4 ways to get a sum of 5: (1,4), (2,3), (3,2), and (4,1). Therefore, the …

A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is calculated using the formula nPr=n!/(n−r)!, where n! is the factorial of …

In mathematics, a combination is a way of selecting items from a larger set where the order of the items does not matter. The number of combinations of n items taken k at a time is calculated using t…

Conditional probability is the probability of an event occurring given that another event has already occurred. It is calculated by dividing the probability of both events occurring by the probabilit…

The confidence interval for sample [234, 223, 210, 203, 258, 299, 281, 208, 278, 252, 295, 245, 280, 235, 219, 297, 214, 267, 212, 256, 232, 221] with 99% confidence is (263.31, 229.33)

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