I have: P(E)=25/100 P(F)=50/100 P(F|E)=17/25 P(E|F)=17/50I don't know if E and F are independent or not. What probability's do I need to compare to find if there independent or dependent? One card is chosen from a set of cards that have ranks 1 to 6. Let X be the numberon the card chosen. The distribution function for picking the cards is given as follows:m(1) 6/100, m(2) = 33/100, m(3) = 11/100,m(4) = 37/100, m(5) = 8/100, m(6) = 5/100.=Let be the event "A card with an odd numbered rank is drawn," andF be the event "A card whose rank is less than or equal to 3 is drawn." explain (in wholesentences) whether events E and F are independent or not. In your response,please write down which probabilities you are comparing, whether they are equalor not, and how their equality or difference shows that the events E and F areindependent or not.

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Answered: I have: P(E)=25/100 P(F)=50/100…

I have: P(E)=25/100 P(F)=50/100 P(F|E)=17/25 P(E|F)=17/50 I don't know if E and F are independent or not. What probability's do I need to compare to find if there independent or dependent?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

100%

I have: P(E)=25/100 P(F)=50/100 P(F|E)=17/25 P(E|F)=17/50

I don't know if E and F are independent or not. What probability's do I need to compare to find if there independent or dependent?

One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number
on the card chosen. The distribution function for picking the cards is given as follows:
m(1) 6/100, m(2) = 33/100, m(3) = 11/100,
m(4) = 37/100, m(5) = 8/100, m(6) = 5/100.
=
Let be the event "A card with an odd numbered rank is drawn," and
F be the event "A card whose rank is less than or equal to 3 is drawn."

explain (in whole
sentences) whether events E and F are independent or not. In your response,
please write down which probabilities you are comparing, whether they are equal
or not, and how their equality or difference shows that the events E and F are
independent or not.

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