We choose a number from the set {1, 2, 3,..., 100}, uniformly at random. Let X be the chosen number. For each of the following choices determine if the two events are independent or not. Explain why. (a) A = {X is even}, B = {X is divisible by 5}. (b) C = {X has two digits}, D = {X is divisible by 5}.

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
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...
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We choose a number from the set {1, 2, 3,..., 100}, uniformly at random. Let X be the chosen
number. For each of the following choices determine if the two events are independent or not.
Explain why.
(a) A = {X is even}, B = {X is divisible by 5}.
(b) C = {X has two digits}, D = {X is divisible by 5}.
Transcribed Image Text:We choose a number from the set {1, 2, 3,..., 100}, uniformly at random. Let X be the chosen number. For each of the following choices determine if the two events are independent or not. Explain why. (a) A = {X is even}, B = {X is divisible by 5}. (b) C = {X has two digits}, D = {X is divisible by 5}.
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