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How do I do the distribution table and the proccess plss help

How do I do the distribution table and the proccess plss help-example-1

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Answer + Step-by-step explanation:

p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)

Because ,when X = 2 or X = 1 the largest number is not 3 so we have to subtract those values .

……………………………………………………………

the probability that X is equal to 1 or 2 or 3 is :


((3)/(6) )^4 = (81)/(1296)

Then


p\left( X=3\right) =(81)/(1296) -((1)/(1296) +(15)/(1296)) =(65)/(1296)\\\\p\left( X=4\right) =(4^4)/(1296) -((1)/(1296) +(15)/(1296)+(65)/(1296)) =(175)/(1296)\\\\p\left( X=5\right) =(5^4)/(1296) -((1)/(1296) +(15)/(1296)+(65)/(1296)+(175)/(1296)) =(369)/(1296)

Verification:

1+15+65+175+369+671 = 1 296

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