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15) A national bake-off contest consists of two contestants from each of the 50 states in the U. S. How many different ways can the contestants finish first, second, third, and fourth, and fifth if: a) the order in which they finished in these five spots mattered? b) the order in which they finished in these five spots didn't matter? 11) The most prolific (highest average litter size) wild mammal in North America is the Virginian opossum. These litter sizes are known from past study to be normally distributed with a mean of 20.5 offspring and a standard deviation of 2.5 offspring. Find the probability that a randomly selected litter contains: a) at most 22 offspring? b) less than 16 offspring? c) at least 18 but no more than 24 offspring? d) either less than 15 or more than 25 offspring?.

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15) A national bake-off contest consists of two contestants from each of the 50 states in the U. S. How many different ways can the contestants finish first, second, third, and fourth, and fifth if: a) the order in which they finished in these five spots mattered? b) the order in which they finished in these five spots didn't matter? 11) The most prolific (highest average litter size) wild mammal in North America is the Virginian opossum. These litter sizes are known from past study to be normally distributed with a mean of 20.5 offspring and a standard deviation of 2.5 offspring. Find the probability that a randomly selected litter contains: a) at most 22 offspring? b) less than 16 offspring? c) at least 18 but no more than 24 offspring? d) either less than 15 or more than 25 offspring?

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