/*! 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 45. Blood types All human blood can ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 45. (page 309)

Blood types All human blood can be typed as one of O,A,B,or AB,but the distribution of the types varies a bit with race. Here is the distribution of the blood type of a randomly chosen black American: Blood type: OABABProbability: 0.490.270.20?

(a) What is the probability of type AB blood? Why?

(b) What is the probability that the person chosen does not have type ABblood?

(c) Maria has type Bblood. She can safely receive blood transfusions from people with blood types Oand BWhat is the probability that a randomly chosen black American can donate blood to Maria?

Short Answer

Expert verified

Part (a) The probability of type AB 0.04

Part (b) The probability of not type 0.96

Part (c) The probability is 0.69

Step by step solution

01

Part (a)  Step 1. Given Information  

There is a table with all of the different types of human blood.

02

Part (a) Step 2. Concept Used   

An event is a subset of an experiment's total number of outcomes. The ratio of the number of elements in an event to the number of total outcomes is the probability of that occurrence.

03

Part (a)  Step 3. Calculation   

The probability distribution must meet the following conditions: 1) The probabilities must be 0鈮�p鈮�1 2) the Sum of all the probabilities should be 1 Using condition 2 ,0.49+0.27+0.20+P(B)=1PAB=1-0.96=0.04

04

Part (b) Step 1. Calculation    

Using the complementary probability formula,PAc=1-PAPnotAB=1-PAB=1-0.04=0.96

05

Part (c) Step 1. Calculation   

PAorB=PA+PB

Using formula.

POorB=PO+PBPOorB=0.49+0.20=0.69

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

Free downloads? Illegal music downloading has become a big problem: 29% of Internet users download music files, and 67% of downloaders say they

don鈥檛 care if the music is copyrighted.15 What percent of Internet users download music and don鈥檛 care if it鈥檚 copyrighted? Write the information given in terms of probabilities, and use the general multiplication rule.

IfC is the event that the person chosen has normal cholesterol (below 200 mg/dl), what鈥檚 P(C)?

An unenlightened gambler

(a) A gambler knows that red and black are equally likely to occur on each spin of a roulette wheel. He observes five consecutive reds occur and bets

heavily on black at the next spin. Asked why he explains that black is 鈥渄ue by the law of averages.鈥� Explain to the gambler what is wrong with this reasoning.

(b) After hearing you explain why red and black are still equally likely after five reds on the roulette wheel, the gambler moves to a poker game. He is dealt five straight red cards. He remembers what you said and assumes that the next card dealt in the same hand is equally likely to be red or black. Is the gambler right or wrong, and why?

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.

(a) According to a recent survey, 50% of people aged 13 and older in the United States are addicted to email. To simulate choosing a random sample of

20people in this population and seeing how many of them are addicted to email, use a deck of cards. Shuffle the deck well, and then draw one card at a

time. A red card means that person is addicted to email; a black card means he isn鈥檛. Continue until you have drawn 20cards (without replacement) for the sample.

(b) A tennis player gets 95%of his second serves in play during practice (that is, the ball doesn鈥檛 go out of bounds). To simulate the player hitting 5second serves, look at pairs of digits going across a row in Table D. If the number is between 00and 94, the service is in; numbers between 95and 99indicate that the service is out.

Keep on tossing The figure below shows the results of two different sets of 5000coin tosses. Explain what this graph says about chance behavior in the short run and the long run.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

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.