/*! 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. 94. Late flights An airline reports ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 94. (page 347)

Late flights An airline reports that 85% of its flights arrive on time. To find the

probability that a random sample of 4 of this airline鈥檚 flights into LaGuardia Airport in New York City on the same night all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

Short Answer

Expert verified

No, because the provided events cannot be considered independent events

Step by step solution

01

Given information

P(Flight arrives on time)=85%=0.85
P(All flights are on time)=0.5220

02

Explanation

The probability of flights arriving on time is not independent, which means that if one flight is delayed, another flight may also be delayed as a result of the first flight's delay. Because the events are not self-contained. As a result, the results are incorrect because they were calculated using the multiplication rule, which is only used in the case of independent events.

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

Who鈥檚 paying? Abigail, Bobby, Carlos, DeAnna, and Emily go to the bagel shop for lunch every Thursday. Each time, they randomly pick 2of the group to pay for lunch by drawing names from a hat.

a. Give a probability model for this chance process.

b. Find the probability that Carlos or DeAnna (or both) ends up paying for lunch.

Mac or PC? A recent census at a major university revealed that 60% of its students mainly used Macs. The rest mainly used PCs. At the time of the census, 67% of the school鈥檚 students were undergraduates. The rest were graduate students. In the census, 23% of respondents were graduate students and used a Mac as their main computer. Suppose we select a student at random from among those who were part of the census and learn that the person mainly uses a Mac. Find the probability that the person is a graduate student.

Cell phones The Pew Research Center asked a random sample of 2024adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random.

  1. Find P(iPhone | 18-34)
  2. Use your answer from part (a) to help determine if the events 鈥渋Phone鈥� and "18-34"are independent.

Tossing coins Imagine tossing a fair coin 3times.

a. Give a probability model for this chance process.

b. Define event B as getting more heads than tails. Find P(B).

When did you leave? The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. Here is an assignment of probabilities for the outcomes :

a. What probability should replace 鈥�?鈥� in the table? Why?

b. Find the probability that the chosen trip did not begin between 9A.M. and 12:59P.M.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation
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.