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# (Solved): (a) If x is the number of seeds that germinate, does x follow a binomial distribution? Yes, all con ...

(a) If

x

is the number of seeds that germinate, does

x

follow a binomial distribution? Yes, all conditions are met. No, there is not a fixed number of trials. No, the probability is not constant. No, there are more than two outcomes. (b) What are the mean and standard deviation of this distribution of the number of seeds that germinate? (Round your standard deviation to four decimal places.) mean standard deviation (c) Calculate the

z

-score to find the probability that more than 120 seeds germinate. (Round your answer to two decimal places.) (d) Using a normal approximation, calculate the probability that fewer than 120 seeds germinate. (Use a table or technology. Round your answer to four decimal places.) Find the

z

-score and look it up in the table of values.

z=(x-\mu )/(\sigma )

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