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Showing posts with label Probability Distribution. Show all posts
Showing posts with label Probability Distribution. Show all posts

Saturday, August 20, 2011

Random Variables and Probability Distribution

Question 3.32

The proportion of the budgets for a certain type of industrial company that is allocated to environmental and pollution control is coming under scrutiny. A data collection project determines that the distribution of these proportions is given by:

f (y) = 5 (1-y)^4,  0<=y<=1
          0, elsewhere

a) Verify that the above is a valid density
b) What is the probability that a company chosen at random expends less than 10% of its budget on environmental and pollution controls ?
c) What is the probability that a company selected at random spends more than 50% on environmental and pollution control ?