In each of the following, identify the variable as discrete or not discrete. 1.
ID: 3265014 • Letter: I
Question
In each of the following, identify the variable as discrete or not discrete. 1. T: the turnaround time for a computer job (the time it takes to run the program and time for a computer job (the time it takes to run the program and receive the results). 2. M: the number of meteorites hitting a satellite per day. 3. N: the number of neutrons expelled per thermal neutron absorbed in fission of uranium-235. 4. Neutrons emitted as a result of fission are either prompt neutrons or delayed neutrons. Prompt neutrons account for about 99% of all neutrons emitted and are released within 10^-14 s of the instant of fission. Delayed neutrons are emitted over a period of several hours. Let D denote the time at which a delayed neutron is emitted in a fission reaction. 5. Electrical resistance is the opposition offered by electrical conductors to the flow of current. The unit of resistance is the ohm. For example, a 2 1/2-inch electric bell will usually have a resistance somewhere between 1.5 and 3 ohms. Let O denote the actual resistance of a randomly selected bell of this type. The number of power failures per month in the Tennessee Valley power network.Explanation / Answer
1) Non - Discrete
As the time can take any value on ratio scale, so it is a non-discrete variable.
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2) Discrete
As the number of meteorites hitting can take only natural numbers like 1,2,4,6,9, etc, so its a discrete random variable.
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3) Discrete
Again, as we are counting the number of neutrons here, so it would only take natural numbers as its value. So, its a discrete random variable.
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4) Non-Discrete
As the time may take any value on ratio scale like 0.1 or 1 or 0.001, so it would be a non discrete random variable.
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5) Non Discrete
The resistance will take any value between 2.5 and 3 ohms such as 2.99 or 2.65. It doesn't have fixed discrete values that it would take. Its again a ratio scale measurement. So, its a non discrete random variable.
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6) Discrete
As we are counting the number of power failures per month which would take values only as natural numbers, so it must be a discrete random variable.
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