anonymous
  • anonymous
A sample space S consists of five simple events with these probabilities: P(E1) = P(E2) = 0.15 P(E3) = 0.4 P(E4) = 2P(E5) a) Find the probabilities for simple events E4 and E5. How do I do this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
let x = P(E5) so P(E4) = 2*P(E5) = 2*x
jim_thompson5910
  • jim_thompson5910
for this distribution to be a true probability distribution, all of the probabilities must add to 1 P(E1) + P(E2) + .... + P(E5) = 1
anonymous
  • anonymous
right but how do i fugure the probability out from x?

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jim_thompson5910
  • jim_thompson5910
P(E1) + P(E2) + P(E3) + P(E4) + P(E5) = 1 0.15+0.15+0.4+2x+x = 1 solve for x
anonymous
  • anonymous
x = 0.10?
jim_thompson5910
  • jim_thompson5910
once you find x, you'll know P(E5) double x to get P(E4)
jim_thompson5910
  • jim_thompson5910
x = 0.10 is correct
anonymous
  • anonymous
Thank you Jim :)
jim_thompson5910
  • jim_thompson5910
np

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