2. Briefly answer the following questions: a) Explain the differences between di
ID: 3296557 • Letter: 2
Question
2. Briefly answer the following questions: a) Explain the differences between discrete random variables and continuous random variables b) Specify one example of discrete random variables and their application c) specify one example of continues random variables and their application 2. Briefly answer the following questions: a) Explain the differences between discrete random variables and continuous random variables b) Specify one example of discrete random variables and their application c) specify one example of continues random variables and their application 2. Briefly answer the following questions: a) Explain the differences between discrete random variables and continuous random variables b) Specify one example of discrete random variables and their application c) specify one example of continues random variables and their applicationExplanation / Answer
a) A discrete random variable X has a countable number of possible values. It is a variable whose value is obtained by counting. Examples: number of students present, number of red marbles in a jar etc.
A continuous random variable X takes all values in a given interval of numbers. The probability distribution of a continuous random variable is shown by a density curve. The probability that X is between an interval of numbers is the area under the density curve between the interval endpoints. The probability that a continuous random variable X is exactly equal to a number is zero.
b) An example application of a discrete random variable could be : Number of planes, taking off and landing during a given time on an airport. Example there are 2 flights landing from New York Airport to London Airport. Here 2 is a dicrete number. X could be denoted by a discrete random variable here.
c) An application of a continuous random variable could be the time taken for the completion of a chemical reaction. here the time could take an infinite number of values and therefore this is represented by a continuous random variable.
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