Refer to Exercise 5.47 and suppose instead that the mix consists of 2500 candies, of which 600 are brown, 1200 are yellow, and 700 are of other colors. Repeat parts (a)-(c) of Exercise 5.47 in this setting.
In Exercise 5.47
A jar contains 25 candies of which 6 are brown, 12 are yellow, and 7 are of other colors. Consider 4 successive draws of 1 candy at random from the jar and suppose the appearance of a yellow candy is the event of interest. For each of the following situations, state whether or not the model of Bernoulli trials is reasonable, and if so, determine the numerical value of p.
(a) After each draw, the selected candy is returned to the jar.
(b) After each draw, the selected candy is not returned to the jar.
(c) After each draw, the selected candy is returned to the jar and one new candy of the same color is added in the jar.