/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 5.16. In Exercises 5.16-5.26, express ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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.

Short Answer

Expert verified

Part (a) 0.265.

Part (b) 0.118.

Part (c) 0.765.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

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", 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.

Prenatal/Infant Death

Frequency

Stillborn

9

Death within one week

4

Death One week to six weeks

3

Death Six weeks to six months

1

Death after six months

1

Did not die

50

02

Part (a) Step 2. Find the probability that the child of the woman selected died.

We know that an event's probability ranges from 0 to 1, and both 0 and 1 are included in it.

The formula for the probability of an event is:

P(E)=No.offavorableoutcomesTotalno.ofoutcomes

A total of 68 women were examined with preeclampsia. Therefore, the total number of instances will become 68.

The total instances where a child dies is:

9+4+3+1+1=18

Let's call the occurrence 'E' the death of the woman's child.

The probability that the child of the woman selected died is:

p(E)=1868=0.265

03

Part (b) Step 1. Find the probability that the child of the woman selected died one week to six months after birth.

The total instances where a child dies one week to six months after birth are:

4+3+1=8

Now Let's call the occurrence 'E' the death of the woman's child from week one to six months after birth.

The probability that the child of the woman selected died one week to six months after birth is:

P(E)=868=0.118

04

Part (c) Step 1. Find the probability that the child of the woman selected lived at least six weeks.

The total instances where a child lived at least six weeks are:

1+1+50=52

Now Let's call the occurrence 'E' the child that lived at least six weeks.

The probability that the child of the woman selected lived at least six weeks is:

P(E)=5268=0.765

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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 P(Y=7).

(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.

Space Shuttles. The National Aeronautics and Space Administration (NASA) compiles data on space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011.

Crew Size245678
Frequency433628631

Let X denote the crew size of a randomly selected shuttle mission between the aforementioned dates.

a. What are the possible values of the random variable X?

b. Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7.

c. Find P(X = 4); interpret in terms of percentages.

d. Obtain the probability distribution of X.

e. Construct a probability histogram for X.

An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .

Age and senators. According to the congressional directory, the official directory of the U.S Congress prepared by the Joint Committee on printing the age distribution for senators in the U.S Congress as of fall 2013, is as shown in the following table.

Suppose that a U.S senator is selected at random. let

A = event the senator is under 50,

B = event the senator is in his or her 50s,

C = event the senator is in his or her 60s, and

S = event the senator is under 70.

Part (a) Use the table and the f/N rule to find P(S).

Part (b) Express event S in term of event A,B and C

Part (c) Determine P(A), P(B) and P(C).

Part(d) Compute P(S), Using the special addition rule and your answers from part (b) and part(c) Compare your answer with in parts (a)

Roughly speaking, What is an experiment? an event?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.