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27. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 200 and standard deviation σ 20. The empirical rule tells us that X has a value greater than approximately 0.15% of the time. 28. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 100 and standard deviation σ = 30. Use the empirical rule to give an interval in which X lies approximately 95% of the time.

27. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 200 and standard deviation σ 20. The empirical rule tells us that X has a value greater than approximately 0.15% of the time. 28. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 100 and standard deviation σ = 30. Use the empirical rule to give an interval in which X lies approximately 95% of the time.

Calculus For The Life Sciences
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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27. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 200 and standard deviation σ = 20. The empirical rule tells us that X has a value greater than approximately 0.15% of the time. 28. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 100 and standard deviation ர σ = 30. Use the empirical rule to give an interval in which X lies approximately 95% of the time.
Transcribed Image Text:27. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 200 and standard deviation σ = 20. The empirical rule tells us that X has a value greater than approximately 0.15% of the time. 28. A random variable X has a bell-shaped symmetric distribu- tion, with expected value = 100 and standard deviation ர σ = 30. Use the empirical rule to give an interval in which X lies approximately 95% of the time.
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