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Problem 4 Suppose that the probability that a child has brown eyes is Now consider a family with 4 children. For each i = 1,...,4 define the event B; that the ith child has brown eyes. Assume that B₁,...,B4 are independent. (1) Using the events B₁,...,B4, describe the event that at least 3 children have brown eyes. (2) Compute the conditional probability that at least 3 children have brown eyes, given that the first child has brown eyes.

Problem 4 Suppose that the probability that a child has brown eyes is Now consider a family with 4 children. For each i = 1,...,4 define the event B; that the ith child has brown eyes. Assume that B₁,...,B4 are independent. (1) Using the events B₁,...,B4, describe the event that at least 3 children have brown eyes. (2) Compute the conditional probability that at least 3 children have brown eyes, given that the first child has brown eyes.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 42E
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Problem 4 Suppose that the probability that a child has brown eyes is 2. Now consider a family with 4 children. For each i = 1,...,4 define the event B; that the ith child has brown eyes. Assume that B₁,...,B4 are independent. (1) Using the events B₁,...,B4, describe the event that at least 3 children have brown eyes. (2) Compute the conditional probability that at least 3 children have brown eyes, given that the first child has brown eyes.
Transcribed Image Text:Problem 4 Suppose that the probability that a child has brown eyes is 2. Now consider a family with 4 children. For each i = 1,...,4 define the event B; that the ith child has brown eyes. Assume that B₁,...,B4 are independent. (1) Using the events B₁,...,B4, describe the event that at least 3 children have brown eyes. (2) Compute the conditional probability that at least 3 children have brown eyes, given that the first child has brown eyes.
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