Suppose in a local Kindergarten through 12th grade (K - 12) school district, 53 percent of the population favor a charter school for grades K through five. A simple random sample of 500 is surveyed. Calculate the following using the normal approximation to the binomial distribution. (Round your answers to four decimal places.) (a) Find the probability that less than 205 favor a charter school for grades K through 5. (b) Find the probability that 280 or more favor a charter school for grades K through 5. (c) Find the probability that no more than 240 favor a charter school for grades K through 5.

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Suppose in a local Kindergarten through 12th grade (K - 12) school district, 53 percent of the population favor a charter school for grades K through five. A simple random sample of 500 is surveyed. Calculate the following using the normal approximation to the binomial distribution. (Round your answers to four decimal places.)

(a) Find the probability that less than 205 favor a charter school for grades K through 5.


(b) Find the probability that 280 or more favor a charter school for grades K through 5.


(c) Find the probability that no more than 240 favor a charter school for grades K through 5.



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