12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 4.5, Problem 26BSC

Identical and Fraternal Twins. In Exercises 25-28, use the data in the following table. Instead of summarizing observed results, the entries reflect the actual probabilities based on births of twins (based on data from the Northern California Twin Registry and the article “Bayesians, Frequeatists, and Scientists” by Bradley Efron, Journal of the American Statistical Association, Vol. 100, No. 469). Identical twins come from a single egg that splits into two embryos, and fraternal twins are from separate fertilized eggs. The table entries reflect the principle that among sets of twins, 1/3 are identical and 2/3 are fraternal Also, identical twins must be of tire same sex and the sexes are equally likely (approximately), and sexes of fraternal twins are equally likely.

Sexes of Twins

	boy/boy	boy/girl	girl/boy	girl/girl
Identical Twins	5	0	0	5
Fraternal Twins	5	5	5	5

26. Fraternal Twins

a. After having a sonogram, a pregnant woman learns that she will have twins. What is the probability that she will have fraternal twins?
b. After studying die sonogram mote closely, the physician tells the pregnant woman that she will give birth to twins consisting of one boy and one girl. What is the probability that she will have fraternal twins?

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Chapter 4.5, Problem 25BSC

Chapter 4.5, Problem 27BSC

Chapter 4 Solutions

Elementary Statistics

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Solution Summary: The author explains that the probability of fraternal twins is 0.667, based on data from the ‘Northern California Twin Registry’.

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