5.43 A jar contains 20 pieces of wrapped hard candies, 7 are raspberry, 10 are butterscotch, and 3 are other flavors. Consider 4 successive draws of 1 piece of candy taken at random from the jar. Suppose the selection of butterscotch 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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 3SE: What is an experiment?
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**Problem 5.43**

A jar contains 20 pieces of wrapped hard candies, 7 are raspberry, 10 are butterscotch, and 3 are other flavors. Consider 4 successive draws of 1 piece of candy taken at random from the jar. Suppose the selection of butterscotch 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.
Transcribed Image Text:**Problem 5.43** A jar contains 20 pieces of wrapped hard candies, 7 are raspberry, 10 are butterscotch, and 3 are other flavors. Consider 4 successive draws of 1 piece of candy taken at random from the jar. Suppose the selection of butterscotch 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.
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