Consider a Poisson distribution with u =3. a. Select the appropriate Poisson probability function. 3" e-3 А. 3 e В. 3 e3 C. 3"e 3 D. Select your answer - b. Compute f(2). f(2) = (to 4 decimal) c. Compute f(1). f(1) D (to 4 decimal) d. Compute P(x 2 2). P(z 2 2)= (to 4 decimal)

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**Instructions for Using Poisson Distribution with \(\mu = 3\):**

**a. Select the appropriate Poisson probability function.**

Options:
- A. \(\frac{3^x e^{-3}}{x!}\)
- B. \(\frac{3^{-x} e^3}{x}\)
- C. \(\frac{3^{-x} e^3}{x!}\)
- D. \(\frac{3^x e^{-3}}{x}\)

[Choose the correct answer from the dropdown menu]

**b. Compute \(f(2)\):**  
Calculate \(f(2)\) to four decimal places.  
\(f(2) = \underline{\quad}\) 

**c. Compute \(f(1)\):**  
Calculate \(f(1)\) to four decimal places.  
\(f(1) = \underline{\quad}\) 

**d. Compute \(P(x \geq 2)\):**  
Calculate \(P(x \geq 2)\) to four decimal places.  
\(P(x \geq 2) = \underline{\quad}\) 

Note: Ensure to use the appropriate Poisson probability formula and apply it correctly for computations.
Transcribed Image Text:**Instructions for Using Poisson Distribution with \(\mu = 3\):** **a. Select the appropriate Poisson probability function.** Options: - A. \(\frac{3^x e^{-3}}{x!}\) - B. \(\frac{3^{-x} e^3}{x}\) - C. \(\frac{3^{-x} e^3}{x!}\) - D. \(\frac{3^x e^{-3}}{x}\) [Choose the correct answer from the dropdown menu] **b. Compute \(f(2)\):** Calculate \(f(2)\) to four decimal places. \(f(2) = \underline{\quad}\) **c. Compute \(f(1)\):** Calculate \(f(1)\) to four decimal places. \(f(1) = \underline{\quad}\) **d. Compute \(P(x \geq 2)\):** Calculate \(P(x \geq 2)\) to four decimal places. \(P(x \geq 2) = \underline{\quad}\) Note: Ensure to use the appropriate Poisson probability formula and apply it correctly for computations.
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