A local bakery sells cupcakes. Let $X$ be the discrete random variable representing the number of cupcakes a customer purchases in a single visit.
a. The probability mass function (PMF) for $X$ is given in the following table:
| $x$ | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| $P(X=x)$ | 0.15 | 0.30 | 0.25 | 0.20 | 0.10 |
State the probability that a customer purchases either 1 or 2 cupcakes.
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 1 mark, testing your understanding of Discrete 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.
discrete random variables: - specification of probability distributions for discrete random variables using graphs, tables and probability mass functions - calculation and interpretation of mean, $\mu$, variance, $\sigma^{2}$, and standard deviation of a discrete random variable and their use - Bernoulli trials and the binomial distribution, $\operatorname{Bi}(n, p)$, as an example of a probability distribution for a discrete random variable - effect of variation in the value(s) of defining parameters on the graph of a given probability mass function for a discrete random variable - calculation of probabilities for specific values of a random variable and intervals defined in terms of a random variable, including conditional probability
All free, all instant AI marking.
A fair six-sided die is rolled. Let $X$ be the random variable representing the number rolled. State the mean and standard deviation of $X$.
A shipping company, 'CargoMax', insures its delivery vans against accidents. Historical data suggests that the number of accidents a van exp…
A company manufactures smartphones. A quality control inspector randomly selects 4 smartphones from each batch for testing. The probability…
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 Discrete Random Variables.
