o An evaluation to study the relationship between quality of sleep and amount of exercises required in order to maintain a healthy lifestyle. Let X be the number of sleeping hours, and Y be the number of hours doing physical activities on weekly basis. The results have been summarized in Table 2 below.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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b. An evaluation to study the relationship between quality of sleep and amount of
exercises required in order to maintain a healthy lifestyle. Let X be the number of
sleeping hours, and Y be the number of hours doing physical activities on weekly
basis. The resuilts have been summarized in Table 2 below.
Table 2
Y = 6 Y =7Y = 8 Total
X= 6
0.05
0.04
0.10
0.19
X=7
0.04
0.16
0.20
0.40
X = 8 0.02
0.09
0.30
0.41
Total
0.11
0.29
0.60
1.00
Find the probability that an individual has fewer physical acțivities than sleeping
hours, P(Y < X).
Transcribed Image Text:b. An evaluation to study the relationship between quality of sleep and amount of exercises required in order to maintain a healthy lifestyle. Let X be the number of sleeping hours, and Y be the number of hours doing physical activities on weekly basis. The resuilts have been summarized in Table 2 below. Table 2 Y = 6 Y =7Y = 8 Total X= 6 0.05 0.04 0.10 0.19 X=7 0.04 0.16 0.20 0.40 X = 8 0.02 0.09 0.30 0.41 Total 0.11 0.29 0.60 1.00 Find the probability that an individual has fewer physical acțivities than sleeping hours, P(Y < X).
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