← Information on the weights and years of experience for a football team was obtained. The given contingency table provides a cross-classification of those data. Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. A player on the football team is selected at random. Complete parts (a) through (e) below. Data table Weight (lb) Under 200 W₁ 200-300 W₂ Over 300 W3 Total Rookie Y₁ 5 12 0 17 Years of experience 6-10 Y3 1 Print 1-5 Y₂ 3 11 8 22 17 6 24 Done Over 10 Y4 0 5 0 5 Total 9 45 14 68 X s a rookie. g: 00:40:17 Next

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
←
Information on the weights and years of experience for a football team was obtained. The given contingency table
provides a cross-classification of those data. Compute the following conditional probabilities directly; that is, do not
use the conditional probability rule. A player on the football team is selected at random. Complete parts (a) through (e)
below.
Data table
Weight (lb)
Under 200
W₁
200-300
W₂
Over 300
W3
Total
Rookie
Y₁₁
5
12
0
17
Print
Years of experience
6-10
Y3
1
1-5
Y₂
3
11
8
22
17
6
24
Done
Over 10
Y4
0
5
0
5
Total
9
45
14
68
X
sa rookie.
g: 00:40:17
Next
Transcribed Image Text:← Information on the weights and years of experience for a football team was obtained. The given contingency table provides a cross-classification of those data. Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. A player on the football team is selected at random. Complete parts (a) through (e) below. Data table Weight (lb) Under 200 W₁ 200-300 W₂ Over 300 W3 Total Rookie Y₁₁ 5 12 0 17 Print Years of experience 6-10 Y3 1 1-5 Y₂ 3 11 8 22 17 6 24 Done Over 10 Y4 0 5 0 5 Total 9 45 14 68 X sa rookie. g: 00:40:17 Next
...
d. Find the probability that the player selected weighs under 200 pounds, given that he is a rookie.
P(weighs under 200 | rookie) = (Round to three decimal places as needed.)
e. Interpret your answers in parts (a)-(d) in terms of percentages.
Part (a) indicates that% of the players are rookies.
(Type an integer or a decimal rounded to one decimal place as needed.)
Part (b) indicates that % of the players weigh under 200 pounds.
(Type an integer or a decimal rounded to one decimal place as needed.)
Part (c) indicates that% of the players who weigh under 200 pounds are rookies.
(Type an integer or a decimal rounded to one decimal place as needed.)
Part (d) indicates that% of the players who are rookies weigh under 200 pounds.
Time Remaining: 00:40:01
Transcribed Image Text:... d. Find the probability that the player selected weighs under 200 pounds, given that he is a rookie. P(weighs under 200 | rookie) = (Round to three decimal places as needed.) e. Interpret your answers in parts (a)-(d) in terms of percentages. Part (a) indicates that% of the players are rookies. (Type an integer or a decimal rounded to one decimal place as needed.) Part (b) indicates that % of the players weigh under 200 pounds. (Type an integer or a decimal rounded to one decimal place as needed.) Part (c) indicates that% of the players who weigh under 200 pounds are rookies. (Type an integer or a decimal rounded to one decimal place as needed.) Part (d) indicates that% of the players who are rookies weigh under 200 pounds. Time Remaining: 00:40:01
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