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Chapter 5: Q 5.6. (page 200)
An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .
The probability that the event is.
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In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Preeclampsia. Preeclampsia is a medical condition characterized by high blood pressure and protein in the urine of a pregnant woman. It is a serious condition that can be life-threatening to the mother and child. In the article "Women's Experiences Preeclampsia: Australian Action on Preeclampsia Survey of Wom and Their Confidants" (Journal of Pregnancy,Vol. 2011, Issue 1, Article ID 375653), C. East et al. examined the experiences of 68 women with preeclampsia. The following table provides a frequency distribution of instances of prenatal or infant death for infants of women with preeclampsia.
Suppose that one of these women with preeclampsia is randomly selected. Find the probability that the child of the woman selected
(a) died.
(b). died one week to six months after birth.
(c). lived at least six weeks.
Give two examples of Bernoulli trials other than those presented in the text.
Why is probability theory important to statistics?
Persons per Housing Unit. From the document American Housing Survey for the United States, published by the U.S. Census Bureau, we obtained the following frequency distribution for the number of persons per occupied housing unit, where we have used "7" in place of 鈥�7 or more.鈥� Frequencies are in millions of housing units.
| Person | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Frequencies | 27.9 | 34.4 | 17.0 | 15.5 | 6.8 | 2.3 | 1.4 |
For a randomly selected housing unit, let Y denote the number of persons living in that unit.
a. Identify the possible values of the random variable Y.
b. Use random-variable notation to represent the event that a housing unit has exactly three persons living in it.
c. Determine P(Y = 3); interpret in terms of percentages.
d. Determine the probability distribution of Y.
e. Construct a probability histogram for Y.
Dice. When two balanced dice are rolled, 36 equally likely outcomes are possible, as depicted in Fig. 5.1 on page 198. Let Ydenote the sum of the dice.
(a) What are the possible values of the random variable Y?
(b) Use random-variable notation to represent the event that the sum of the dice is 7.
(c) Find .
(d) Find the probability distribution of Y. Leave your probabilities in fraction form.
e. Construct a probability histogram for Y.
In the game of craps, a first roll of a sum of 7 or 11 wins, whereas a first roll of a sum of 2, 3, or 12 loses. To win with any other first sum, that sum must be repeated before a sum of 7 is rolled. Determine the probability of
(f) a win on the first roll.
(g) a loss on the first roll.
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