A small technology company is developing a new type of sensor. The company’s engineers are analyzing two key performance characteristics of the sensor: its lifespan and its measurement accuracy. The lifespan, $T$, is the time (in hours) until the sensor fails. The measurement accuracy, $A$, is the absolute difference between the sensor’s reading and the true value (in appropriate units).
a. Explain why the random variable $T$, representing the lifespan of the sensor, would be considered a continuous random variable, while the number of sensors that fail within the first 100 hours of operation from a batch of 500 sensors would be considered a discrete random variable.
Marking your answer...
This may take a few seconds
Sign up for free to see your full marking breakdown and personalised study recommendations.
Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 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
All free, all instant AI marking.
A pharmaceutical company is developing a new drug to treat hypertension. During clinical trials, they monitor the blood pressure of patients…
State whether each of the following variables is discrete or continuous: a) The number of goals scored in a soccer match. b) The height of a…
A manufacturing plant produces cylindrical metal rods. The diameter, $D$, of a rod is a random variable, as is the length, $L$, of the rod.…
StudyPulse has thousands of VCE Mathematical Methods questions with full AI feedback, mark breakdowns, progress tracking, and study notes across every Key Knowledge point including Random Variables.
