(a)
Using the daily world COVID-19 data provided, construct a continuous multivariate probability . Briefly describe the data used and explain the procedures on how the model was constructed. Note:the sample size should be at least 30.
[30 marks]
(b) Using the probability model constructed in (a), comment on the distribution of the daily world COVID-19 data (joint distribution of daily confirmed cases and deaths).
[20 marks]
Dr. G. Kallah-Dagadu & Mr. Issah Seidu Page 1 of 2
2. Using your sampled data in (Question 1) for either daily confirmed cases or daily number of deaths, generate twenty-five samples each with size five and estimate the mean and variance for each sample. Using the properties and techniques of sampling distribution, show that
(a) the sample mean is normally distributed with mean , and variance 2.
[25 marks]
(b) the sample variance is distributed as chi-square with (n 1) degrees of freedom and plot a histogram to clearly show the shape of the distribution.
[25 marks]
Note: Marks will be awarded to proper presentation and clarity of all
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