A pharmaceutical company is developing a new drug to treat hypertension. During clinical trials, they monitor the blood pressure of patients at regular intervals. Let $X$ represent the number of patients who experience a significant reduction in systolic blood pressure (defined as a reduction of at least 15 mmHg) after one month of treatment. The company also measures the time $T$ (in days) until a patient experiences this significant reduction.
Discuss whether $X$ and $T$ are discrete or continuous random variables. Justify your answer, clearly explaining the properties that define each type of random variable and how they apply to the variables $X$ and $T$ in this context.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 4 marks, testing your understanding of Random Variables. It falls under Data analysis, probability and statistics in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers discrete and continuous random variables, probability distributions, and statistical inference for sample proportions.
random variables, including the concept of a random variable as a real function defined on a sample space and examples of discrete and continuous random variables
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