A jar contains 25 candies of which 11 are brown, 10 are yellow, and 4 are of oth

Question

A jar contains 25 candies of which 11 are brown, 10 are yellow, and 4 are of other colors. Consider 3 successive draws of 1 candy at random from the jar and suppose the appearance of a yellow candy is the event of interest. For the following situation, state whether or not the model of Bernoulli trials is reasonable, and if so, determine the numerical value of p . Give exact answers. Type no for p if the model of Bernoulli trials is not appropriate.

After each draw, the selected candy is returned to the jar.

The model of Bernoulli trials

Solve for p.

Explanation / Answer

Since we are replacing the candies everytime so any draw will be independent of other draws. Hence,

We can model this situation with Bernoulli trails.

p = P(Getting yellow) = 10/25 = 2/5 = 0.40

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