Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 53% of the population favor a charter school for grades K through 5. A simple random sample of 324 is surveyed. a. Find the mean and the standard deviation of X of B(324, 0.53). Round off to 4 decimal places. b. Now approximate X of B(324, 0.53) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y ~ N( D c. Find the probability that at most 183 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.)

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Use ztable (https://ma336.qccmathcs.com/ztable.html 2).
Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 53% of the population favor
a charter school for grades K through 5. A simple random sample of 324 is surveyed.
a. Find the mean and the standard deviation of X of B(324, 0.53). Round off to 4 decimal places.
o =
b. Now approximate X of B(324, 0.53) using the normal approximation with the random variable Y and the
table. Round off to 4 decimal places.
Y ~ N( D
c. Find the probability that at most 183 favor a charter school using the normal approximation and the table.
(Round off to z-values up to 2 decimal places.)
P(X < 183) - P(Y <
(Z <
d. Find the probability that more than 180 favor a charter school using the normal approximation and the
table. (Round off to z-values up to 2 decimal places.)
P(X > 180) - P(Y >
= (Z >
e. Find the probability that exactly 185 favor a charter school using the normal approximation and the table.
(Round off to z-values up to 2 decimal places.)
P(X = 185) - P(
<Y <
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Transcribed Image Text:Use ztable (https://ma336.qccmathcs.com/ztable.html 2). Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 53% of the population favor a charter school for grades K through 5. A simple random sample of 324 is surveyed. a. Find the mean and the standard deviation of X of B(324, 0.53). Round off to 4 decimal places. o = b. Now approximate X of B(324, 0.53) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y ~ N( D c. Find the probability that at most 183 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X < 183) - P(Y < (Z < d. Find the probability that more than 180 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X > 180) - P(Y > = (Z > e. Find the probability that exactly 185 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 185) - P( <Y < Question Help: O Message instructor Submit Question
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