If X is a Poisson variate such that 3P(X=4) = 1/2P(X=2) + P(X=0) find (i) the mean of X and (ii) P(

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If the random variable X takes the value 1,2,3 and 4 such that 2P(X=1) = 3P(X=2) = P(X=3) = 5P(X=4). If the random variable X takes the value 1,2,3 and 4 such that 2P(X=1) = 3P(X=2) = P(X=3) = 5P(X=4).
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If a Poisson distribution is such that 3/2 P(X=1) = P(X=3), find (i) P(X≥1), (ii) P(X≤3) and (iii) If a Poisson distribution is such that 3/2 P(X=1) = P(X=3), find (i) P(X≥1), (ii) P(X≤3) and (iii)
Poisson Distribution - Probability Distribution Problem Poisson Distribution - Probability Distribution Problem