(a) Explanation Given information: A couple plan to have child until a girl child born and also the couple is planning to have at max 3 child. Calculation: The possible outcomes are: The first child born is a girl. The first child born is a boy and second child are a girl. The first two child born is a boy and second child are a girl. The first 3 child are boy. Therefore, Y can take 0, 1, 2, 3. Probability of girl is 0 .5 and probability of boy is 0 .5 . For Y = 0 , the couple has no boys. In other words, they have a girl. Since, the couple plans to have children until a girl is born, the probability is 0 .5 . For Y = 1 , the couple can have one boy. Since, the couple plans to have children until a girl is born, the second child is a girl. Thus P ( 1 ) = B G = 0.5 × 0.5 = 0.25 Thus, the probability that the couple can have only one boy is 0.25 . For Y = 2 , the couple can have two boys. Since, the couple plans to have children until a girl is born, the third child is a girl. Thus, P ( 2 ) = B B G = 0 (b) To determine To calculate the expected value . (c) To determine To calculate the standard deviation.

2nd Edition

ISBN: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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Chapter 6.1, Problem 59E

(a)

To determine

To calculate the probability distribution of Y.

(b)

To determine

To calculate the expected value.

(c)

To determine

To calculate the standard deviation.

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Chapter 6.1, Problem 58E

Chapter 6.1, Problem 60E

Chapter 6 Solutions

Elementary Statistics 2nd Edition

Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...

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To calculate the probability distribution of Y.

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To calculate the probability distribution of Y.

To calculate the expected value.

To calculate the standard deviation.

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Chapter 6 Solutions