Question

Write a R script where you answer the following questions: 1. Consider Y ∼ Binom(n =...

Write a R script where you answer the following questions:

1. Consider Y ∼ Binom(n = 10, p = 0.05).

Find the following probabilities: (a) P(2 < Y < 5) (b) P(2 ≤ Y ≤ 5) (c) P(Y < 9)

2. Consider Y ∼ P oisson(λ = 0.5).

Find the following probabilities: (a) P(Y = 5) (b) P(2 ≤ Y ≤ 5) (c) P(Y < 9)

3. Consider Y ∼ N(µ = 3, σ2 = 1).

Find the following probabilities: (a) P(Y = 5) (b) P(Y ≤ 5 (c) P(Y > 9) (d) P(0 < Y < 6)

4. Consider Y ∼ Gamma(α = 3, β = 1.5).

Find the following probabilities: (a) P(Y ≤ 10) (b) P(Y > 10) (c) P(Y = 9) (d) P(0 < Y < 6)

5. What does dnorm function compute in R?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

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Here we need use pbinom function of r. Following is the screen shot of r script:

Following is the output of r script:

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