Question 1. For two consecutive days, the p(x,y) (joint density function) of the average napping time of a baby is provided in the table as follows. X is the napping time on the first day and Y is the napping time on the second day). X 15 75 C. 120 156 20 0.06 0.01 Y 0.03 0.06 0.09 0.14| 50 b. function of Y, given X=75. 62 108 0.04 0.01 0.04 0.04 0.12 0.03| 0.09 0.08 0.04 a. What is the probability that the baby sleeps at most 100 minutes on the first day and at most 100 minutes on the second day? 0.12 Calculate the conditional probability mass Are X and Y independent RVs? Explain.

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Question 1.
For two consecutive days, the
p(x,y) (joint density function) of the average napping
time of a baby is provided in the table as follows. X is
the napping time on the first day and Y is the napping
time on the second day).
X
a.
15
75
C.
120
156
20
0.06
Y
0.03 0.06
50
62 108
b.
function of Y, given X=75.
0.09 0.14
0.04 0.01 0.04
0.01 0.04 0.12 0.03
0.09 0.08 0.04
What is the probability that the baby
sleeps at most 100 minutes on the first day and at
most 100 minutes on the second day?
0.12
Calculate the conditional probability mass
Are X and Y independent RVs? Explain.
Transcribed Image Text:Question 1. For two consecutive days, the p(x,y) (joint density function) of the average napping time of a baby is provided in the table as follows. X is the napping time on the first day and Y is the napping time on the second day). X a. 15 75 C. 120 156 20 0.06 Y 0.03 0.06 50 62 108 b. function of Y, given X=75. 0.09 0.14 0.04 0.01 0.04 0.01 0.04 0.12 0.03 0.09 0.08 0.04 What is the probability that the baby sleeps at most 100 minutes on the first day and at most 100 minutes on the second day? 0.12 Calculate the conditional probability mass Are X and Y independent RVs? Explain.
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