In Exercises 6–10, use the following: Five American Airlines flights are randomly selected, and the table in the margin lists the probabilities for the number that arrive on time (based on data from the Department of Transportation). Assume that five flights are randomly selected.

What does the probability of 0+ indicate? Does it indicate that among five randomly selectedflights, it is impossible for none of them to arrive on time?

x

P(x)

0

0+

1

0.006

2

0.051

3

0.205

4

0.409

5

0.328

Short Answer

Expert verified

The term “0+” represents that the likelihood of happening is very small positive value. It cannot be interpreted as that it is impossible for none of the five flights to arrive on time.

Step by step solution

01

Given information

The probability distribution for the five American airlines flights is provided.

Let x be the number of flights.

02

Describe what 0+ probability indicates.

In the probability distribution table, the value 0+ indicates that the probability corresponding to x = 0 is a very small positive number.

Therefore, it does not describe that it is impossible for none of the five randomly selected flights to arrive on time.

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 Vaia!

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 15–20, assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials, each with probability of success (correct) given by p = 0.20. Find the indicated probability for the number of correct answers.

Find the probability of no correct answers.

In Exercises 15–20, refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children.

Using Probabilities for Significant Events

a. Find the probability of getting exactly 1 girl in 8 births.

b. Find the probability of getting 1 or fewer girls in 8 births.

c. Which probability is relevant for determining whether 1 is a significantly low number ofgirls in 8 births: the result from part (a) or part (b)?

d. Is 1 a significantly low number of girls in 8 births? Why or why not?

Number of girls x

P(x)

0

0.004

1

0.031

2

0.109

3

0.219

4

0.273

5

0.219

6

0.109

7

0.031

8

0.004

In Exercises 9–16, use the Poisson distribution to find the indicated probabilities.

Murders In a recent year, there were 333 murders in New York City. Find the mean number of murders per day, then use that result to find the probability that in a day, there are no murders. Does it appear that there are expected to be many days with no murders?

Identifying Binomial Distributions. In Exercises 5–12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.

Clinical Trial of YSORT The YSORT method of gender selection, developed by the Genetics & IVF Institute, was designed to increase the likelihood that a baby will be a boy. When 291 couples use the YSORT method and give birth to 291 babies, the genders of the babies are recorded.

There are 80 questions from an SAT test, and they are allmultiple choice with possible answersof a, b, c, d, e. For each question, only one answer is correct. Find the mean and standarddeviation for the numbers of correct answers for those who make random guesses for all 80

questions.

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.

Sign-up for free