Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for its fuel consumption performance for 100 number of different automobiles to see whether this new product can be labeled as user friendly. Now, the manufacturer wants to use a probability distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles. Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km while the vertical axis shows corresponding densities-masses. Given this information 1. Please make a discussion on the conditions under which we can argue

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Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for
its fuel consumption performance for 100 number of different automobiles to see whether this new
product can be labeled as user friendly. Now, the manufacturer wants to use a probability
distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles.
Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km
while the vertical axis shows corresponding densities-masses.
Given this information 1. Please make a discussion on the conditions under which we can argue
that this case fits to a probability distribution (remember class meetings+problem sessions); 2.
Please explain clearly why this case fits to a discrete or continuous distribution; 3. Please give an
example for the random variable z for this case and 4. Please show in which part of the probability
distribution can the fuel consumption of this new battery approximately be labeled as user friendly.
Transcribed Image Text:Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for its fuel consumption performance for 100 number of different automobiles to see whether this new product can be labeled as user friendly. Now, the manufacturer wants to use a probability distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles. Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km while the vertical axis shows corresponding densities-masses. Given this information 1. Please make a discussion on the conditions under which we can argue that this case fits to a probability distribution (remember class meetings+problem sessions); 2. Please explain clearly why this case fits to a discrete or continuous distribution; 3. Please give an example for the random variable z for this case and 4. Please show in which part of the probability distribution can the fuel consumption of this new battery approximately be labeled as user friendly.
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