Consider a Poisson distribution with u = 6. If needed, round your answer to four decimal digits. (a) Choose the appropriate Poisson probability mass function. 6"e-6 (i) f(x) = (ii) f(x) x! x! 6ª e® f(x) = æ! 6* e-6 f(æ) (iii) (iv) Option (ii) (b) Compute f(2). (c) Compute f(1).

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Consider a Poisson distribution with u
= 6. If needed, round your answer to four decimal digits.
(a) Choose the appropriate Poisson probability mass function.
x°e
6*e-6
(i)
f(x):
(ii)
f(x) :
æ!
x!
6* e6
6*e-6
(iii)
f(x) :
(iv)
f(æ) =
x!
Option (ii)
(b) Compute f(2).
(c) Compute f(1).
(d) Compute P(x > 2).
Transcribed Image Text:Consider a Poisson distribution with u = 6. If needed, round your answer to four decimal digits. (a) Choose the appropriate Poisson probability mass function. x°e 6*e-6 (i) f(x): (ii) f(x) : æ! x! 6* e6 6*e-6 (iii) f(x) : (iv) f(æ) = x! Option (ii) (b) Compute f(2). (c) Compute f(1). (d) Compute P(x > 2).
Expert Solution
Step 1

Given that 

X~Poisson(μ=6)

Probability mass function of X is 

f(x)=μxe/x!   , x=0,1,2,____

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