Concept explainers
(a)
To find: The variance and standard deviation of the random variable Z.
(a)
Answer to Problem 76E
Solution: Variance and standard deviation of random variable Z are 2500 and 50, respectively.
Explanation of Solution
Calculation:
Consider X, Y, and Z to be the random variables with variances
Substitute the values in the above formula:
The standard deviation can be calculated as follows:
Substitute the values in the above formula:
The variance of the random variable Z is 2500and the standard deviation is 50.
(b)
To find: The variance and standard deviation of the random variable Z.
(b)
Answer to Problem 76E
Solution: The variance and standard deviation of random variable Z are 2500 and 50, respectively.
Explanation of Solution
Calculation: Consider X, Y, and Z to be the random variables with variances
Substitute the values in the above formula:
The standard deviation can be calculated as follows:
Substitute the values in the above formula:
(c)
To find: The variance and standard deviation of the random variable Z.
(c)
Answer to Problem 76E
Solution: The variance and standard deviation of random variable Z are 125 and 11.18, respectively.
Explanation of Solution
Calculation: Consider X, Y, and Z to be the random variables with variances
Substitute the values in the above formula:
The standard deviation can be calculated as follows:
Substitute the values in the above formula:
(d)
To find: The variance and standard deviation of the random variable Z.
(d)
Answer to Problem 76E
Solution: The variance and standard deviation of random variable Z are 125and 11.18, respectively.
Explanation of Solution
Calculation: Consider X, Y, and Z to be the random variables with variances
Substitute the values in the above formula:
The standard deviation can be calculated as follows:
Substitute the values in the above formula:
(e)
To find: The variance and standard deviation of the random variable Z.
(e)
Answer to Problem 76E
Solution: The variance and standard deviation of random variable Z are 625 and 25, respectively.
Explanation of Solution
Calculation: Consider X, Y, and Z to be the random variables with variances
Substitute the values in the above formula:
The standard deviation can be calculated as follows:
Substitute the values in the above formula:
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Chapter 4 Solutions
EBK INTRODUCTION TO THE PRACTICE OF STA
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt