A jar contains 50 candies of which 6 are brown, 20 are yellow, and 24 are of oth

Question

A jar contains 50 candies of which 6 are brown, 20 are yellow, and 24 are of other colors. Consider 6 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 . After each draw, the selected candy is returned to the jar. The model of Bernoulli trials is appropriate. p=0.40. The model of Bernoulli trials is appropriate. p=0.48. The model of Bernoulli trials is not appropriate. The model of Bernoulli trials is appropriate. p=0.A jar contains 50 candies of which 6 are brown, 20 are yellow, and 24 are of other colors. Consider 6 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 . After each draw, the selected candy is returned to the jar. The model of Bernoulli trials is appropriate. p=0.40. The model of Bernoulli trials is appropriate. p=0.48. The model of Bernoulli trials is not appropriate. The model of Bernoulli trials is appropriate. p=0.35.

Explanation / Answer

Since the draws are made with replacement, the probability of drawing a yellow candy remains the same in every trial. So, a Bernoulli model is applicable.

p = 20/50 = 0.40

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