Historically, the SAT score is normally distributed with a mean of 1483 points and a standard deviation of 348.7 points. Let X be the SAT score of a randomly selected student. 1. Describe the probability distribution of X and state its parameters and σ: X-Select an answer(μ σΞ 2. Find the probability that the SAT score of a randomly selected student is a. less than 1774 points. (Round the answer to 4 decimal places) b. between 2018 and 2039 points. c. more than 2112 points. (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 70-th percentile for the SAT score. points (Round the answer to 1 decimal place)

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Historically, the SAT score is normally distributed with a mean of 1483 points and a standard deviation of
348.7 points. Let X be the SAT score of a randomly selected student.
1. Describe the probability distribution of X and state its parameters and σ:
X-Select an answer(μ
σΞ
2. Find the probability that the SAT score of a randomly selected student is
a. less than 1774 points.
(Round the answer to 4 decimal places)
b. between 2018 and 2039 points.
c. more than 2112 points.
(Round the answer to 4 decimal places)
(Round the answer to 4 decimal places)
3. Find the 70-th percentile for the SAT score.
points (Round the answer to 1 decimal place)
Transcribed Image Text:Historically, the SAT score is normally distributed with a mean of 1483 points and a standard deviation of 348.7 points. Let X be the SAT score of a randomly selected student. 1. Describe the probability distribution of X and state its parameters and σ: X-Select an answer(μ σΞ 2. Find the probability that the SAT score of a randomly selected student is a. less than 1774 points. (Round the answer to 4 decimal places) b. between 2018 and 2039 points. c. more than 2112 points. (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 70-th percentile for the SAT score. points (Round the answer to 1 decimal place)
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