Mathematics

Mathematics

Problem

For an experiment, the probabilities assigned to four outcomes are k,  2k,  0.5−k,  0.5−2k.k,\;2k,\;0.5 - k,\;0.5 - 2k. Which of the following intervals for kk ensures that these numbers form a valid probability distribution? a) 0<k<0.250<k<0.25 b) 0≤k≤0.250 \le k \le 0.25 c) 0≤k≤0.50 \le k \le 0.5 d) 0.25≤k≤0.50.25 \le k \le 0.5

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