/*! 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 68. Teachers and college degrees Sel... [FREE SOLUTION] | 91影视

91影视

Teachers and college degrees Select an adult at random. Define events D: person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(D)P(T)P(DT)P(TD)

Short Answer

Expert verified

The order isP(T)<P(TD)<P(D)<P(DT)

Step by step solution

01

Given Information

It is given that

D: Person earned college degree

T: Person's career is teaching

P(D)Probability of person earning a college degree

P(T) Probability for professional teacher

P(TD) Conditional probability for degree holder professional teacher

P(DT) Conditional probability for teaching career degree holder

02

Explanation

All teachers have college degree as per universal fact.

  • P(DT)is largest as lot of people have college degree.
  • P(D) is next largest as most degree holders are not having teaching career.
  • P(TD)<P(D) as the professional teachers are less than the people with a college degree opting for teaching career.
  • Also P(TD)>P(T)

The order isP(T)<P(TD)<P(D)<P(DT)

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

Four-sided dice A four-sided die is a pyramid whose four faces are labeled

with the numbers 1,2,3and4(see image). Imagine rolling two fair, four-sided dice and

recording the number that is showing at the base of each pyramid. For instance, you would

record a 4if the die landed as shown in the figure.

a. Give a probability model for this chance process.

b. Define event A as getting a sum of 5. Find P(A).

Recycling Do most teens recycle? To find out, an AP庐 Statistics class asked an SRS of 100students at their school whether they regularly recycle. In the sample, 55students said that they recycle. Is this convincing evidence that more than half of the students at the school would say they regularly recycle? The dotplot shows the results of taking 200SRSS of 100students from a population in which the true proportion who recycle is 0.50.

a. Explain why the sample result (55out of 100said "Yes") does not give convincing evidence that more than half of the school's students recycle.

b. Suppose instead that 63students in the class's sample had said "Yes." Explain why this result would give convincing evidence that a majority of the school's students recycle.

Is this your card? A standard deck of playing cards (with jokers removed) consists of 52 cards in four suits鈥攃lubs, diamonds, hearts, and spades. Each suit has 13 cards, with denominations ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. The jacks, queens, and kings are referred to as 鈥渇ace cards.鈥 Imagine that we shuffle the deck thoroughly and deal one card. The two-way table summarizes the sample space for this chance process based on whether or not the card is a face card and whether or not the card is a heart.

Type of card

Face cardNon-Face cardTotal
Heart3
10
13
Non-Heart9
30
39
Total12
40
52

Are the events 鈥渉eart鈥 and 鈥渇ace card鈥 independent? Justify your answer.

Color-blind men About 7% of men in the United States have some form of red-green color blindness. Suppose we randomly select one U.S. adult male at a time until we find one who is red-green color-blind. Should we be surprised if it takes us 20 or more men? Describe how you would carry out a simulation to estimate the probability that we would have to randomly select 20 or more U.S. adult males to find one who is red-green color blind. Do not perform the simulation.

Colorful disksA jar contains 36disks: 9each of four colors鈥攔ed, green, blue, and Page Number: 328yellow. Each set of disks of the same color is numbered from 1to 9. Suppose you draw one disk at random from the jar. Define events R: get a red disk, and N: get a disk with the number 9.

a. Make a two-way table that describes the sample space in terms of events Rand N.

b. Find P(R)and P(N).

c. Describe the event 鈥Rand N鈥 in words. Then find the probability of this event.

d. Explain why P(RorN)P(R)+P(N) Then use the general addition rule to computeP(RorN).

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.