Use the recursion formula of Exercise 4.50 to calculate the value of the Poisson distribution with \(\lambda=3\) for \(x=0,1,2, \ldots\), and 9 , and draw the probability histogram of this distribution. Verify your results by referring to Table 2W or software.

Data From Exercise 4.50

Data From Table 2W

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4.50 Prove that for the Poisson distribution f(x + 1; ) f(x; ) for x = 0, 1, 2, .... = x+1