3.33 Let X be a Poisson rv with mean 3.9. a. Create a plot of the pmf of X. b. What is the most likely outcome of X? c. Find a such that P(a < X < a +1) is maximized. d. Find b such that P(b < X
3.33 Let X be a Poisson rv with mean 3.9. a. Create a plot of the pmf of X. b. What is the most likely outcome of X? c. Find a such that P(a < X < a +1) is maximized. d. Find b such that P(b < X
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This is a Statistics problem. Please explain each step thoroughly.

Transcribed Image Text:**3.33**
Let \( X \) be a Poisson random variable with mean 3.9.
a. Create a plot of the pmf of \( X \).
b. What is the most likely outcome of \( X \)?
c. Find \( a \) such that \( P(a \leq X \leq a+1) \) is maximized.
d. Find \( b \) such that \( P(b \leq X \leq b+2) \) is maximized.
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