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Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown 1510, 345.1 ✓ and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. 0.6060 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~N (4x =| 1510 <, ox 52.0 and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. 0.0082 (Round the answer to 4 decimal places)

Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown 1510, 345.1 ✓ and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. 0.6060 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~N (4x =| 1510 <, ox 52.0 and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. 0.0082 (Round the answer to 4 decimal places)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question 3 Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown (μ=1510,0 = 345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. 0.6060 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) X~N (μχ 1510 x and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. 52.0 0.0082✓ (Round the answer to 4 decimal places)
Transcribed Image Text:Question 3 Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 44. 1. Describe the probability distribution of X and state its parameters μ and o: X~ unknown (μ=1510,0 = 345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. 0.6060 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) X~N (μχ 1510 x and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. 52.0 0.0082✓ (Round the answer to 4 decimal places)
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