The annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density function of the simulated values in Question 4 as a different coloured line in the chart that was produced in Question 2.|

A: To find the probability of both orders being accurate with replacement, we need to find the...

A: Step 1:

A:

A: We calculate the percentage of Kara's total spending that was spent on "Fun" as follows: 1. Identify...

A:

A: To solve the problem, we need to analyze the transportation network and calculate probabilities...

A: 1. To calculate the test statistic, we will use the Chi-Square Goodness of Fit Test formula. We will...

A: a. Sector Angle for Science Checking for the accuracy of the drawing:As you can see, the 45 degrees...

A:

A:

A:

A: The question asks us to analyze a line graph that shows car sales over 60 days. We need to:Identify...

A: Step 1:Given data : A group of potential customers were asked whether they preferred Coca-Cola...

A:

A: Here's a structured approach to creating your multiple regression analysis report based on the data...

A: The range of a data set is the difference between the maximum and minimum values. In this case, the...

A:

A: In statistics, skewness is a measure of the asymmetry of the probability distribution of a...

A: The problem states that a chi-square contingency test should be done to check whether there is a...

A: Step 1: Step 2: Step 3: Step 4:

A: First, we need to calculate the sum of X^2. From the table, we can see that the individual values of...

A: Representation of Rj2In the context of this problem, Rj2 indicates the proportion proportion of...

A: Given TableData, Frequency, Relative Frequency, Cumulative Relative FrequencyErrors in cumulative...

A: The given compound statement is: (¬q→p)∧¬r Step 1: Apply NegationWe need to negate the entire...

A:

A: The p-value for the GPA coefficient in the regression model is not directly given. However, we can...

A: Let's solve this step by step:a) To find the 95% confidence interval for the difference in mean...

A: The number of runs is given as 10. A run is a sequence of similar items (in this case, either A or...

A:

A:

A: Importance:The concept of product measure is foundational in areas such as:Probability Theory: Used...

A: Given that the null and alternative hypotheses are as follows:Null Hypothesis, H0: p =...

A: De Morgan's second law states that the complement of the intersection of two sets is equal to the...

A: Step 1: Step 2: Step 3: Step 4:

A: (a) Tail Events and the Tail σ-fieldIn probability theory, tail events and the tail σ-field are...

A: We are given that the time to complete a statistics exam follows a normal distribution: X∼N(40,62)...

A: Part 1: The Estimated Regression Equation 1. The estimated multiple regression equation has the...

A: Detailed Explanation: Part a.: Hypothesis Test for Optical Density Differences To determine if...

A: Given:P(Brown) = 13% or 0.13P(Yellow) = 14% or 0.14P(Red) = 13% or 0.13P(Blue) = 24% or...

A: Properties of a σ-Field:Contains the empty set and the sample space: ∅ and Ω={a,b,c} must be...

A: Mean CalculationFirst, sum all the...

A: Step 1:Here, scatter plot represents student's marks vs time they spent in revising for test.Step...

A: The null hypothesis (H0) is that the true mean level of radon exposure in the tombs is equal to...

A: b. You've already been given the sample mean: 6.5. This is the average hours spent on childcare by...

A: Intuitive Explanation of Contrasts and the Treatment Sum of Squares The treatment sum of squares...

A: When it comes to veggies, nudge marketing strategies have a significant influence on consumers'...

A: Step 1: HypothesesWe are testing whether the likelihood of winning is the same across different post...

A: Step 1: Organize the DataFirst, list all the given test scores in ascending order:Given test...

A: Understanding the ProblemWe have data on the wing lengths of birds from two regions: Northern and...

A: Please rate my answer is helpful. I shall be very thankful to you. May God stay bless you.Answer: