a. What is the distribution of x? ~ N( b. What is the distribution of Σα? Σ X c. P(22.8422) = NO

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The average score for games played in the NFL is 21.2 and the
standard deviation is 9.1 points. 44 games are randomly
selected. Round all answers to 4 decimal places where
possible and assume a normal distribution.
a. What is the distribution of x? - NO
b. What is the distribution of Σx? Σ
X
- No
c. P(<22.8422) =
d. Find the 61th percentile for the mean score for this
sample size.
e.
P(20.3422 < x < 22.486) =
f. Q1 for the distribution =
g. ΡΙΣ x > 1009.4568) =
h. For part c) and e), is the assumption of normal
necessary? Yes No
Transcribed Image Text:The average score for games played in the NFL is 21.2 and the standard deviation is 9.1 points. 44 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of x? - NO b. What is the distribution of Σx? Σ X - No c. P(<22.8422) = d. Find the 61th percentile for the mean score for this sample size. e. P(20.3422 < x < 22.486) = f. Q1 for the distribution = g. ΡΙΣ x > 1009.4568) = h. For part c) and e), is the assumption of normal necessary? Yes No
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