Suppose that Y has density function f (y) = * ky 0, (1 − y), 0elsewhere. ≤ y ≤ 1, a Find the value of k that makes f (y) a probability density function. b Find P(.4 ≤ Y ≤ 1). c Find P(.4 ≤ Y < 1). d Find P(Y ≤ .4|Y ≤ .8). e Find P(Y < .4|Y < .8

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.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.