a.) Find the standard deviation of Y b.) What is the calculated covariance? c.) What is the correlational value?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 2E
icon
Related questions
Question

A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let x denote the number of red lights the truck encounters going from  A to B and y ​ denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by:

a.) Find the standard deviation of Y
b.) What is the calculated covariance?
c.) What is the correlational value?

X
Y
1
2
3
4
0.01
0.01
0.03
0.07
0.01
1
0.03
0.05
0.08
0.03
0.02
2
0.03
0.11
0.15
0.01
0.01
3
0.02
0.07
0.10
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01
Transcribed Image Text:X Y 1 2 3 4 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.10 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Multivariate Distributions and Functions of Random Variables
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL