SOLUTION: An experiment has four outcomes: o1, o2, o3, and o4, with corresponding weights w1, w2, w3, and w4, where w1=5k , w2=8k , w3=2k, and w4=5k. What is the value of k? What

Question 1122898: An experiment has four outcomes: o1, o2, o3, and o4, with corresponding weights w1, w2, w3, and w4, where w1=5k , w2=8k , w3=2k, and w4=5k.
What is the value of k?

What is Pr({o1,o4})?

Enter your answers as whole numbers or fractions in lowest terms.
Answer by greenestamps(13206) (Show Source): You can put this solution on YOUR website!

It's unusual to talk about "weights" in a problem like this; so I assume you mean the same thing as the probabilities....

The sum of all the probabilities is 5k+8k+2k+5k = 20k; since the sum of all the probabilities is 1, k = 1/20.

Pr({o1,o4}) = 5k+5k = 10k = 10/20 = 1/2.
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