45. A batch contains 40 bacteria cells and 12 of those cells are not capable of cellular replication. Suppose that you examine three bacteria cells selected at random without replacement. What is the probability that at least one of the selected cells cannot replicate? a. 0.0223 b. 0.0232 c. 0.0332 d. 0.0125
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Step 1: The probability that at least one of the selected cells cannot replicate is equal to 1 minus the probability that none of the selected cells cannot replicate. Show more…
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A batch contains 36 bacteria cells and 12 of the cells are not capable of cellular replication. Suppose that you examine three bacteria cells selected at random without replacement. (a) What is the probability mass function of the number of cells in the sample that can replicate? (b) What are the mean and variance of the number of cells in the sample that can replicate? (c) What is the probability that at least one of the selected cells cannot replicate?
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