/*! 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} Q25 In Exercises 25鈥32, find the p... [FREE SOLUTION] | 91影视

91影视

In Exercises 25鈥32, find the probability and answer the questions. XSORT Gender Selection MicroSort鈥檚 XSORT gender selection technique was designed to increase the likelihood that a baby will be a girl. At one point before clinical trials of the XSORT gender selection technique were discontinued, 945 births consisted of 879 baby girls and 66 baby boys (based on data from the Genetics & IVF Institute). Based on these results, what is the probability of a girl born to a couple using MicroSort鈥檚 XSORT method? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

Short Answer

Expert verified

The probability of a girl being born to a couple who have used the XSORT method is equal to 0.930.

Yes, the XSORT method is effective in increasing the probability of a girl being born.

Step by step solution

01

Given information

Through a technique known as MicroSort鈥檚 XSORT method, out of 945 births, 879 were girls, and 66 were boys.

02

Describe the probability of an event

The probability of an event is computed by taking the ratio of the number of outcomes in favor of the event to the total number of outcomes.

It can be expressed as shown below:

PA=NumberofoutcomesinfavourofATotalnumberofoutcomes

03

Calculating the probability value

Define an event A that a girl is born to a couple using the technique.

The total number of births is equal to 945.

The number of girls born is equal to 879.

The probability of birth of a female is as follows:

PA=NumberofgirlsbornTotalnumberofbirths=879945=0.9301

Therefore, the probability of birth of a female is equal to 0.930.

04

Discuss the effectiveness of the technique

In a general setup, the chances of occurrence of boy and girl are even, with a probability equal to 0.5.

Using the technique, the chances for a girl to be born increases to 0.930, which is significantly higher than 0.5.

As the probability is extremely greater than 0.5, it can be concluded that the technique successfully increases the likelihood of birth of a female.

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

Denomination Effect. In Exercises 13鈥16, use the data in the following table. In an experiment to study the effects of using a \(1 bill or a \)1 bill, college students were given either a \(1 bill or a \)1 bill and they could either keep the money or spend it on gum. The results are summarized in the table (based on data from 鈥淭he Denomination Effect,鈥 by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36).

Purchased Gum

Kept the Money

Students Given A \(1 bill

27

46

Students Given a \)1 bill

12

34

Denomination Effect

a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.

b. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.

c. What do the preceding results suggest?

In Exercises 5鈥36, express all probabilities as fractions.

Classic Counting Problem A classic counting problem is to determine the number of different ways that the letters of 鈥淢ississippi鈥 can be arranged. Find that number.

At Least One. In Exercises 5鈥12, find the probability.

Wi-Fi Based on a poll conducted through the e-edition of USA Today, 67% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?

In Exercises 9鈥20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

Taco Bell

Order Accurate

329

264

249

145

OrderNotAccurate

33

54

31

13

Fast Food Drive-Thru Accuracy If two orders are selected, find the probability that they are both accurate.

a. Assume that the selections are made with replacement. Are the events independent?

b. Assume that the selections are made without replacement. Are the events independent?

In Exercises 25鈥32, find the probability and answer the questions.. Car Rollovers In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly selected passenger car crash results in a rollover. Is it unlikely for a car to roll over in a crash?

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.