/*! 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 3.1. Construct a tree diagram to repr... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Construct a tree diagram to represent this situation.

Short Answer

Expert verified

The tree diagram is:

Step by step solution

01

Step 1. Given Information

In California, Texas, and New York, 40percent, 25 percent, and 35 percent of computers are built, accordingly. Laptops created in California, Texas, and New York account for 75 percent, 70 percent, and 50 percent of the total.

02

Step 2. Concept Used

The universal multiplication rule P(AB)=P(A)×P(B|A)can be used to get the probability that events A and B both occur, where P(B|A)is the conditional probability that event Boccurs provided that eventAhas already occurred. There's another technique to simulate random behaviour that incorporates a sequence of outcomes, such as tossing coins, where the outcome of one toss is independent of the outcome of any other throw. A tree diagram is what it's called.

03

Step 3. Explanation

A tree diagram might be created using the information provided as follows:

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 91Ó°ÊÓ!

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

Education among young adults Chooses a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education, and 0.30 that the person has at least a bachelor’s degree.

(a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?

(b) What is the probability that a randomly chosen young adult has at least a high school education? Which rule of probability did you use to find the

answer?

Use the correct choice from the previous question and these random digits to simulate 10 shots:8273471490204674751181676553009438314893How many of these 10 shots are hits? (a) 2(b) 3(c) 4(d) 5(e) 6

Simulation blunders Explain what’s wrong with each of the following simulation designs.

(a) A roulette wheel has 38colored slots—38 red, 18 black, and 2green. To simulate one spin of the wheel, let numbers 00 to 18 represent red, 19 to 37

represent black, and 38 to 40 represent green.

(b) About 10% of U.S. adults are left-handed. To simulate randomly selecting one adult at a time until you find a left-hander, use two digits. Let 01 to 10 represent being left-handed and 11 to 00 represent being right-handed. Move across a row in Table D, two digits at a time, skipping any numbers that have already appeared, until you find a number between 01 and 10. Record the number of people selected.

Find P(E|L) and P(L|E) Which of these conditional probabilities tells you whether this college’s EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain.

During World War II, the British found that the probability that a bomber is lost through enemy action on a mission over occupied Europe was 0.05 Assuming that missions are independent, find the probability that a bomber returned safely from 20 missions.

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.