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(3) A professor gambler claims that he has loaded a die so that the outcomes of 1, 2, 3, 4, 5,6 have corresponding probabilit
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Answer #1
X 1 2 3 4 5 6
P(x) 0.1 0.2 0.3 0.4 0.5 0.6

As we know, Total Probability =1

Here

Probability=0.1+0.2+0.3+0.4+0.5+0.6=2.1>1

so it is not a valid probability Distribution.of the claim

also, No, he can not do what he claim because the probability of each event will be 1/6 and here given distribution is not valid.

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