Find probabilities using the normal to binomial distribution

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Question: 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 300 is surveyed. Calculate following using the normal approximation to the binomial distribution.

a. Find the probability that less than 100 favor a charter school for grades K through 5.

b. Find the probability that 170 or more favor a charter school for grades K through 5.

c. Find the probability that no more than 140 favor a charter school for grades K through 5.

d. Find the probability that there are fewer than 130 that favor a charter school for grades K through 5.

e. Find the probability that exactly 150 favor a charter school for grades K through 5.

Reference no: EM131643861

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