Construct a probability distribution: Overview
A probability distribution is basically a chart of what the probability of an event happening is. It’s a way of quickly viewing the event, and the probability of that event. Probability distribution charts can get quite complex in statistics. For example, a normal distribution or t-distribution chart usually requires some form of technology (like Microsoft Excel or the TI-83 calculator) to create. However, you can construct a basic probability distribution showing events and probabilities in a few easy steps.
Construct a probability distribution: Steps
Sample question: Construct a probability distribution for the following scenario: the probability of a sausage making machine producing 0, 1, 2, 3, 4, or 5 misshapen sausages per day are 0.09, 0.07, 0.1, 0.04,0.12, and 0.02.
- Step 1: Write down the number of widgets (things, items, products or other named thing) given on one horizontal line. In this case, the widgets in this question are the “misshapen sausages”.
- Step 2: Directly underneath the first line, write the probability of the event happening.
- The probability of the sausage machine producing 0 misshapen sausages a day is 0.09. Write “0.09” directly under “0”.
- The probability of the sausage machine producing 1 misshapen sausages a day is 0.07. Write “0.07” directly under “1”.
- The probability of the sausage machine producing 2 misshapen sausages a day is 0.1. Write “0.1” directly under “2”.
- The probability of the sausage machine producing 3 misshapen sausages a day is 0.04. Write “0.04” directly under “3”.
- The probability of the sausage machine producing 4 misshapen sausages a day is 0.12. Write “0.12” directly under “4”.
- The probability of the sausage machine producing 5 misshapen sausages a day is 0.02. Write “0.02” directly under “5”.
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