Skip to main content
Ch. 3 - Probability
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Larson 8th EditionCh. 3 - Probability문제 3.2.7b
3장, 문제 3.2.7b

Finding Conditional Probabilities In Exercises 7 and 8, use the table to find each conditional probability.
7. Business Degrees The table shows the numbers of male and female students in the United States who received bachelor's degrees in business and nonbusiness fields in a recent year. (Source: National Center for Educational Statistics)
b. Find the probability that a randomly selected bachelor's degree-earning student received a business degree, given that the student is female.
Table showing the number of male and female students earning business and nonbusiness bachelor's degrees in the U.S.

검증된 단계별 안내
1
Step 1: Understand the problem. We are tasked with finding the conditional probability that a randomly selected bachelor's degree-earning student received a business degree, given that the student is female. Conditional probability is calculated using the formula P(A|B) = P(A ∩ B) / P(B), where A is the event of receiving a business degree and B is the event of being female.
Step 2: Identify the relevant values from the table. From the table, the number of female students who received business degrees is 181,362, and the total number of female students is 1,135,684.
Step 3: Calculate the numerator of the conditional probability formula, P(A ∩ B). This is the number of female students who received business degrees, which is 181,362.
Step 4: Calculate the denominator of the conditional probability formula, P(B). This is the total number of female students, which is 1,135,684.
Step 5: Divide the numerator by the denominator to find the conditional probability. The formula is P(A|B) = 181,362 / 1,135,684. Simplify the fraction to express the probability.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m
도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Conditional Probability

Conditional probability refers to the likelihood of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads as the probability of event A occurring given that event B has occurred. This concept is crucial for understanding how probabilities can change based on additional information, such as knowing the gender of a student when determining the probability of them having a business degree.
추천 영상:
가이드 코스
03:53
Conditional Probability Rule

Joint Probability

Joint probability is the probability of two events occurring simultaneously. In the context of the given question, it involves calculating the probability of a student being both female and having received a business degree. This concept is essential for understanding how to derive conditional probabilities from a dataset, as it helps in identifying the intersection of the two events being analyzed.
추천 영상:
5:37
Introduction to Probability

Marginal Probability

Marginal probability is the probability of a single event occurring without consideration of other events. It is calculated by summing the joint probabilities of the event across all possible outcomes. In this case, the marginal probability of a student being female can be found by summing the total number of female students, which is necessary for calculating the conditional probability of interest.
추천 영상:
5:37
Introduction to Probability
관련 실천
교과서 질문

18. Rolling a Die You roll a die. Find the probability of each event.

b. Rolling a 2 or an odd number

101
views
교과서 질문

"Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.

26. Worst President In a sample of 1500 adult U.S. citizens, 690 said that Donald Trump was the worst president in U.S. history. Three adult U.S. citizens are selected at random.

(Adapted from YouGov)

b. Find the probability that none of the three adult U.S. citizens say that Donald Trump was the worst president in U.S. history."

40
views
교과서 질문

Marijuana Use The percent distribution of the last marijuana use (either medical or nonmedical) for a sample of 13,373 college students is shown in the pie chart. Find the

probability of each event. (Source: American College Health Association)

a. Randomly selecting a student who never used marijuana

89
views
교과서 질문

Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.

30. Standardized Test Scores According to a survey, 57.8% of college-seeking high school seniors say they have taken one of the standardized tests for potential college students. Of these, 35.6% say they do not plan to submit their score with their college applications. (Adapted from Niche)

b. Find the probability that a randomly selected college-seeking high school senior took one of the standardized tests and plans to submit this score with their college

applications.

106
views
교과서 질문

Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.

29. In Vitro Fertilization In a recent year, about 1.9% of all infants born in the U.S. were conceived through assisted reproductive technology (ART). Of the ART deliveries, about 26.4% resulted in multiple births. (Source: Morbidity and Mortality Weekly Report)

a. Find the probability that a randomly selected infant was conceived through ART and was part of a multiple birth.

88
views
교과서 질문

2. Determine whether each number could represent the probability of an event. Explain your reasoning. b. 333.3%

161
views