The proportion of the budget 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 f(y)= {█(〖5(1-y)〗^4, 0≤y ≤1@0, elsewhere)┤ a) verify that the above is a valid density function. 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% of its budget on environmental and pollution controls?

i wish i could u

step-by-step explanation:

i wish i could u

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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