/*! 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 28. Give me some sugar! Machines tha... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 28. (page 358)

Give me some sugar! Machines that fill bags with powdered sugar are supposed to

dispense 32ounces of powdered sugar into each bag. Let x=the weight (in ounces) of the

powdered sugar dispensed into a randomly selected bag. Suppose that xcan be modeled

by a Normal distribution with mean 32ounces and standard deviation 0.6ounce. Find P(x鈮�31). Interpret this value.

Short Answer

Expert verified

About4.75%of all bags contain less than31ounces.

Step by step solution

01

Step 1. Given information. 

We have given values of mean渭=32, standard deviation蟽=0.6andx=9.

02

Step 2. To find the probability. 

The z- score is the value decreased by the mean, divided by the standard deviation

z=x-渭蟽=31-320.6鈮�-1.67

Now,

P(x鈮�31)=P(Z<-1.67)=0.0475=4.75%

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

Horse pregnanciesBigger animals tend to carry their young longer before birth. The

length of horse pregnancies from conception to birth varies according to a roughly Normal

distribution with mean 336 days and standard deviation 6 days. Let X = the length of a

randomly selected horse pregnancy.

a. Write the event 鈥減regnancy lasts between 325 and 345 days鈥� in terms of X. Then find

this probability.

b. Find the value of c such thatP(X鈮�c)=0.20

.Life insurance The risk of insuring one person鈥檚 life is reduced if we insure many people. Suppose that we insure two 21-year-old males, and that their ages at death are independent. If X1andX2are the insurer鈥檚 income from the two insurance policies, the insurer鈥檚 average income W on the two policies is

W=X1+X22=0.5X1+0.5X2

Find the mean and standard deviation of W. (You see that the mean income is the same as for a single policy but the standard deviation is less.)

Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable.

a. Shuffle a standard deck of playing cards well. Then turn over one card at a time from the top of the deck until you get an ace.

b. Billy likes to play cornhole in his free time. On any toss, he has about a 20%chance of getting a bag into the hole. As a challenge one day, Billy decides to keep tossing bags until he gets one in the hole.

Red light! Refer to Exercise 84. Calculate and interpret P(Y鈮�7)

Spoofing (4.2) To collect information such as passwords, online criminals use "spoofing" to direct Internet users to fraudulent websites. In one study of Internet fraud, students were warned about spoofing and then asked to log into their university account starting from the university's home page. In some cases, the log-in link led to the genuine dialog box. In others, the box looked genuine but, in fact, was linked to a different site that recorded the ID and password the student entered. The box that appeared for each student was determined at random. An alert student could detect the fraud by looking at the true Internet address displayed in the browser status bar, but most just entered their ID and password.

a. Is this an observational study or an experiment? Justify your answer.

b. What are the explanatory and response variables? Identify each variable as categorical or quantitative.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

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.