/*! 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} Q2CRE For Chapter 2 through Chapter 14... [FREE SOLUTION] | 91影视

91影视

For Chapter 2 through Chapter 14, the Cumulative Review Exercises include topics from preceding chapters. For this chapter, we present a few calculator warm-up exercises, with expressions similar to those found throughout this book. Use your calculator to find the indicated values.

Six Children Jule Cole is a founder of Mabel鈥檚 Labels, and she is the mother of six children. The probability that six randomly selected children are all girls is found by evaluating\({0.56^6}\). Find that value.

Short Answer

Expert verified

The probability (or likelihood) that all the six randomly selected children are females given by \({0.5^6}\) is equal to 0.015625.

Step by step solution

01

Given information

The founder of Mabel鈥檚 Labels, Jule Cole, has six children. The probability of all six randomly chosen children being female is given by \({0.5^6}\).

02

Powers and exponents

Thepowerof a number is computed by multiplying the number byitself, repeated a number of times.

The total number of times a numerical value is multiplied by itself is called theexponent, and the numerical value is called thebase number.

It is denoted as \({\left( {{\rm{base}}\;{\rm{number}}} \right)^{{\rm{exponent}}}}\).

03

  Determining the value

The probability that all six randomly selected children are girls is given by\({0.5^6}\).

Here, thebase numberis0.5, and theexponent is6.

\(\begin{array}{c}{0.5^6} = 0.5 \times 0.5 \times 0.5 \times 0.5 \times 0.5 \times 0.5\\ = 0.015625\end{array}\)

Hence, the value is obtained to be equal to 0.015625.

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 91影视!

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

In Exercises 21鈥24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

Given the context of the data in the table, what issue can be addressed by conducting a statistical analysis of the measurements?

In Exercises 21鈥24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

Source of the Data Considering the source of the data, does that source appear to be biased in some way?

Online Medical Info. USA Today posted this question on its website: 鈥淗ow often do you seek medical information online?鈥 Of 1072 Internet users who chose to respond, 38% of them responded with 鈥渇requently.鈥 What term is used to describe this type of survey in which the people surveyed consist of those who decided to respond? What is wrong with this type of sampling method?

Determine whether the given source has the potential to create a bias in a statistical study.

Brain Size. A data set in Appendix B includes brain volumes from 10 pairs of monozygotic (identical) twins. The data were collected by researchers at Harvard University, Massachusetts General Hospital, Dartmouth College, and the University of California at Davis.

In Exercises 17鈥20, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from a data set in Appendix B.)

Subject


12345
8 AM9798.597.697.798.7
12 AM97.697.89898.498.4

Context of the Data: Refer to the table of body temperatures. Is there some meaningful way in which each body temperature recorded at 8 AM is matched with the 12 AM temperature?

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.