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

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