MTH219 Fundamentals of Statistics and Probability SUSS Assignment Sample Singapore

MTH219 Fundamentals of Statistics and Probability is a course that offers an introduction to both fields. It is geared towards providing students with a basic yet comprehensive understanding of both statistics and probability. Through this class, students will be able to gain an overview of stimulating topics such as statistical modeling, measures of central tendency and variability, probability distributions, hypothesis testing, and more.

All of these topics are designed to give students the skills they need to pursue further research in each field or even apply their understanding on the job. This class definitely provides a great opportunity for expanding knowledge and enhancing career opportunities!

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To provide clarity on assignment briefs, here is a brief description:

Assignment Brief 1: Calculate the expectation, variance and/or median of random variables.

Calculating the expectation, variance, and median of random variables is a fundamental part of understanding probability distributions. These calculations provide important insights into where values are likely to fall within a distribution, allowing us to make better judgments or decisions about that given set of random variables. Knowing the expected outcomes for a given set of random variables also makes it easier for us to analyze trends and patterns, compare results, and draw meaningful conclusions. With these calculations in hand, we are armed with the confidence that we have all the necessary information at our disposal to be able to accurately forecast outcomes and make sound decisions.

Assignment brief 2: Show the dependence/independence of events.

Everyday events can often be unpredictable; one moment a situation may seem completely dependent on some other variable, and the next it is entirely independent. It is this fluctuation in the interconnectedness of things that keep life exciting and intriguing. Many think that it is possible to identify patterns in the relationship between different events or changes on a macro level, but this continued independence suggests that life is full of surprises – no matter how logical the prediction system may seem. The key is understanding these events in a way that takes into account both the interrelatedness and the disconnect between them, to keep open an ever-evolving appreciation for life.

Assignment Brief 3: Comment on results obtained by direct calculation of the probability of events versus those obtained by Normal/Poisson approximation.

When comparing results that are derived from the direct calculation of a probability for an event versus those obtained through a normal or Poisson approximation, there is often a marked difference in the quality and accuracy of the outcome. The direct calculation provides more precise estimates and allows for simulations that help us to gain deeper insight into complex events than reliance on approximations.

As such, it is generally preferable to use direct calculation over taking shortcuts or employing rough approximations when there is enough time and data available to form a more accurate estimate.

Assignment Brief 4: Compute probabilities of events.

Computing probabilities can quantify the likelihood of possible events, which is advantageous for many organizations. Probability calculations are used in a variety of different fields, such as engineering, economics, and finance, to predict and analyze scenarios before making decisions.

Organizations can also apply probability computations to more complex tasks such as forming responses to rapidly changing markets and developing strategies with uncertainty in mind. By understanding the mathematical fundamentals of computation probabilities, organizations can make use of it to maximize efficiency while being prepared for any eventuality.

Assignment Brief 5: Apply probability models in practical settings.

Probability models can help quantify uncertainty in many real-world situations, such as forecasting inventory levels, predicting the probability of success or failure of a project, and improving product quality control. Incorporating probability models into decision-making can provide guidance even when data lacks certainty, allowing for more informed decisions to be made with higher confidence.

Applying such models requires an understanding of the underlying factors that drive the outcomes being studied and using sound methodological approaches to best represent these factors. Ultimately, applying probability models can provide useful insights that account for both the complexity of human behavior and randomness present in real-world activities.

Assignment Brief 6: Determine statistical information of a given data set.

Determining statistical information of a given data set is an essential part of any data analysis task. The ability to understand and process numerical values, identify patterns and relationships between them, as well as to draw meaningful conclusions is paramount. In order to do this effectively, it is important to have an understanding of various statistical measures such as average, median, mode, variance, standard deviation and percentiles.

By calculating these measures on a given data set one can uncover valuable insights which would otherwise be overlooked. Every data analytics project should begin with an in-depth investigation into the statistical information of the data.