A batch contains 35 bacteria cells and 14 of the cells are not capable of cellular replication. Suppose you examine three bacteria cells selected at random, without replacement. Round your answers to three decimal places (e.g. 98.765). (a) What is the probability mass function of the number of cells in the sample, X, that can replicate? f (X = 0) = i f (X = 1) = i f(X = 2) = i f (X = 3) = (b) What is the mean and variance of the number of cells in the sample that can replicate? Мean %3 i Variance = (c) What is the probability that at least one of the selected cells cannot replicate? Probability = i

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.