Type A Theory Exercise 2: Probability Density

Exercise 2: Probability Density

After years and years in the workshop, you have accumulated a sizable jar of discarded ball-bearings of different masses (all less than 5 g). The graph below shows a probability density function for the masses of the ball-bearings.

a) How would you label the horizontal axis? The vertical axis?

b) How would you interpret the area under the probability density function?

c) What is the probability that the mass of a ball-bearing is between 1 and 2 g?

d) What must the total area under the function be? Why?

e) What is the probability that the mass of a ball-bearing is exactly 3.0 g? Explain.

Check your answers with your lab instructor.

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