A Gaussian random variable, X, has mean value a -5 and variance o" - 16. You can find a table of standard normal probabilities on blackboard. a) What is Pr (XS5)? b) What is Pr (XS)? Does it depend on the value of u? c) What is Pr (X ≤ 6)?

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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A Gaussian random variable, X, has mean value a 5 and variance o² = 16. You can find
a table of standard normal probabilities on blackboard.
a) What is Pr (X ≤ 5)?
b) What is Pr (XS)? Does it depend on the value of u?
c) What is Pr (X ≤ 6)?
d) What is Pr (0 ≤X)?
e) What is Pr (0 ≤ x ≤ 6)?
f) What is Pr (4≤|X-5)?
Transcribed Image Text:A Gaussian random variable, X, has mean value a 5 and variance o² = 16. You can find a table of standard normal probabilities on blackboard. a) What is Pr (X ≤ 5)? b) What is Pr (XS)? Does it depend on the value of u? c) What is Pr (X ≤ 6)? d) What is Pr (0 ≤X)? e) What is Pr (0 ≤ x ≤ 6)? f) What is Pr (4≤|X-5)?
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