STUDENT ACTIVITY 4: Illustrating a Probability Distribution for a Discrete Random Variable and its Properties Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a face mask of a person is required for their safety. Since there are limited stocks available, she decided to start another business by making a face mask. She started selling face masks from day 1 to day 10. The data she collected is shown in the table below. lustrate a probability distrībution of a random variable X showing the number of face mask sold per day and its corresponding probabilities. Day Number of Face Mask (X) 25 20 3 15 4 14 15 10 6. 12 10 9 15 10 14
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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