Reference no: EM132340805

Please provide the full R code for all questions and the charts in png format.

Project 1

Plot the following PDFs in one chart

1. PDF_{F_B} =  (10^-6/365) x Binominal (365, 0.74) x Lognormal(-5.16, 5.58).

Please plot the PDF_{I_B} in red color and label it as "I-B hybrid model"

Note:

Bionominal (n,p)= Bionominal (365, 0.74)

Lognormal (μ,σ²) = Lognormai(-5.16, 5.5B)

2. PDF_{I_B} =  (10^-6/365) x Binominal (365, 0.74) x Lognormal(-5.16, 0.94).

Please plot the PDF_{F_B} in blue color and label it as "F-B hybrid model"

Note:

Bionominal (n,p)= Bionominal (365, 0.74)

Lognormal (μ,σ²) = Lognormai(-5.16, 0.94)

3. PDF_F =  (10^-6/365) x350x Lognormal(-5.16, 6.23).

Please plot the PDF_F in blackcolor and label it as "Frequentist model"

Note: Lognormal (μ,σ) = Lognormal(-5.16, 6.23)

4. Label x axis as "ADD (mg kg^-1d^-1) and label y axis as 'PDF'. The fonds needs to be clear and good size.

Project 2

Plot the following four CDFs in a different chart

Note: a. it is "ln(x)"; b.Φ is the CDF of normal distribution of ln(x) i.e., in our question, it is the CDF of the lognormal distribution of x; c. F is the CDF of the binomial distribution, k is integer 0 ≤ k ≤ 365

1. CDF₁ = (10^-6/365) xΦ⌈(ln(x)+7.39)/1.58⌉ x F(k, 365, 0.70)

Don't label it but CDF₁ in red color

2. CDF₂ = (10^-6/365) x Φ  ⌈(ln(x)+7.39)/1.58⌉ x F(k, 365, 0.77)

Don't label it, but CDF₂ in blue color

3. CDF₃ = (10^-6/365) x Φ⌈(ln(x)+2.95)/4.97⌉ x F(k, 365, 0.70)

Don't label it, but CDF₃ in yellow color

4. CDF₄ = (10^-6/365) x Φ⌈(ln(x)+2.95)/4.97⌉ x F(k, 365, 0.77)

Don't label it, but CDF₄ in green color

5. Label x axis as "ADD (mg kg^-1d^-1) and label y axis as "CDF". The fonds needs to be clear and good size.

6. Provide the values for all CDFs at the 95^th percentile (in R code, not in the chart)

7. Make a horizontal dash line at the 95^th percentile

Project 3

Plot the following four CDFs in a different chart

1. CDF₄ = (10^-6/365) x Φ⌈(ln(x)+5.16)/0.97⌉ x F(k, 365, 0.70)

Don't label it but CDF₁ in red color

2. CDF₄ = (10^-6/365) x Φ⌈(ln(x)+2.95)/0.97⌉ x F(k, 365, 0.77)

Don't label it but CDF₁ in Blue color

3. Label x axis as "ADD (mg kg^-1d^-1) and label y axis as "CDF". The fonds needs to be clear and good size.

4. Provide the values for all CDFs at the 95^th percentile (in R code, not in the chart)

5. Make a horizontal dash line at the 95^th percentile

Please let me know if you have any questions. The full R codes for all questions are needed. All charts need to be provided in png format.