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1 1. In a certain large lake 30% of the fish are thrown back because they are too small. Consider catching 20 fish from the
1 1. In a certain large lake 30% of the fish are thrown back because they are too small. Consider catching 20 fish from the lake. Assume that the fish you caught can be considered a random sample from the very large number of fish in the lake. Let Y = the number of fish that you throw back because they are too small. (a) Explain how Y can be considered a binomial random variable. (b) Find the probability that exactly 5 fish are thrown back. Show your work. (c) Calculate and interpret the mean of Y. (d) Calculate and interpret the standard deviation of Y
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