anonymous
  • anonymous
Probability Question! 1. You are going to choose a letter at random from the following set of 7 letters: A, E, H, T, U, W, X. --What is P(X)? What is P({H,E})? Event 1 is that the chosen letter has a horizontal bar in it. Event 2 is that the letter is contained in the word “WAX.” What are the sample points in event 1? What are the sample points in the complement of event 2? What is the intersection of event 1 and event 2? What is the union of event 1 and event 2? Are event 1 and event 2 mutually exclusive? Explain your answer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
there are 7 letters all together the probability you choose an X is one out of seven, i.e \[P(X)=\frac{1}{7}\]
misty1212
  • misty1212
the second one is not clear if it is \[P(X\cup H)\] then it is two out of seven, i.e \[\frac{2}{7}\]

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anonymous
  • anonymous
Thank you so much Misty!! Would the sample points in the complement of event 2 be {E, H, T, U, W, X}? And would the intersection and union of both events = {A}?
misty1212
  • misty1212
hold on let me see if i understand the question
anonymous
  • anonymous
Okay!
misty1212
  • misty1212
Event 1 is that the chosen letter has a horizontal bar in it. i would say that is \[\{A, E, H, T,\}\] if i get it right
misty1212
  • misty1212
they each have a horizontal line in them
misty1212
  • misty1212
Event 2 is that the letter is contained in the word “WAX.” that is just \[\{M, A, X\}\]
misty1212
  • misty1212
What are the sample points in the complement of event 2? that is everything except what is in \(\{W,A, X\}\) i.e. \(\{E,H,T,U\}\)
misty1212
  • misty1212
\[\{A, E, H, T,\}\] and \[\{W, A, X\}\] have A in common, so the intersection is A, that means they are NOT mutually exclusive
anonymous
  • anonymous
Okay!!! Thank you so much!! The union is Just A too right? That's what I got! @misty1212
misty1212
  • misty1212
no dear the union is not just A
misty1212
  • misty1212
it is everything
misty1212
  • misty1212
i mean all the stuff in \[\{A, E, H, T,\}\]then add all the stuff in \[\{W, A, X\}\]
anonymous
  • anonymous
Ah!! I had a gut feeling about that. Thank you!! I got confused! So, A, E, H, T, W, X! Thank you!!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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