/*! 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. 101 101. Job reads that 1 out of 4 e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 101 (page 406)

101. Job reads that 1 out of 4 eggs contains salmonella bacteria. So he never uses more than 3 eggs in cooking. If eggs do or don't contain salmonella independently of each other, the number of contaminated eggs when Joe uses 3 chosen at random has the following distribution:

(a) binomial; n=4andp=1/4

(b) binomial; n=3andp=1/4

(c) binomial; n=3andp=1/3

(d) geometric;p=1/4

(e) geometric;p=1/3

Short Answer

Expert verified

(b) Binomial distribution with n=3 andp=1/4

Step by step solution

01

Given Information 

Eggs contains salmonella bacteria=1outof4

Eggs not used for cooking=morethan3

02

Explanation 

An assumption is made that probability is 1out of 4

Randomly, 3are chosen

By dividing the number of favorable outcomes by the possible outcomes, we arrive at probability:

P(win)=#of favorable outcomes#of possible outcomes=14

3are chosen at random, So the sample size is:

n=3

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

A large auto dealership keeps track of sales made during each hour of the day. Let X=the number of cars sold during the first hour of business on a randomly selected Friday. Based on previous records, the probability distribution of Xis as follows:

Compute and interpret the mean of X.

51. His and her earnings A study of working couples measures the income Xof the husband and the income Yof the wife in a large number of couples in which both partners are employed. Suppose that you knew the means 渭Xand 渭Yand the variances 蟽X2and 蟽纬2 of both variables in the population.
(a) Is it reasonable to take the mean of the total income X+Yto be 渭X+渭Y ? Explain your answer.
(b) Is it reasonable to take the variance of the total income to be 蟽X2+蟽y2 ? Explain your answer.

Spell-checking Refer to Exercise 3. Calculate the mean of the random variable X and interpret this result in context.

52. Study habits The academic motivation and study habits of female students as a group are better than those of males. The Survey of Study Habits and Attitudes (SSHA)is a psychological test that measures these factors. The distribution of SSHAscores among the women at a college has mean120and standard deviation 28, and the distribution of scores among male students has mean 105and standard deviation 35.You select a single male student and a single female student at random and give them theSSHA test.
(a) Explain why it is reasonable to assume that the scores of the two students are independent.
(b) What are the expected value and standard deviation of the difference (female minus male) between their scores?
(c) From the information given, can you find the probability that the woman chosen scores higher than the man? If so, find this probability. If not,
explain why you cannot.

Refer to the previous Check Your Understanding (page 390 ) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined X=the number of Patti's correct guesses.

1. Find 渭X. Interpret this value in context.

2. Find localid="1649452775386" 蟽X. Interpret this value in context.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.