A bottle of water contains 12.05fluid ounces with a standard deviation of 0.01ounces. Define the random variable Xin words. X=____________.

Short Answer

Expert verified

X=Ounces of water in the bottle

Step by step solution

01

Given Information 

Given in the question that, a bottle of water contains 12.05 fluid ounces with a standard deviation of 0.01 ounces.

We have to define random variableXin words.

02

Explanation 

A random variable remains a variable with an unknown value or a function that gives values to each of the results of an experiment. A random variable might be discrete or continuous. From the given information, it is observed that a bottle of water contains 12.05fluid ounces.

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 Vaia!

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

An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280days and a standard deviation of 13days. An alleged father was out of the country from 240to 306days before the birth of the child, so the pregnancy would have been less than 240days or more than 306days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the localid="1653472319552" z-scores first, and then use those to calculate the probability.

Find the 80th percentile.

Suppose x~N(8,9). What value of xis 0.67standard deviations to the left of the mean?

In the 1992 presidential election, Alaska’s 40 election districts averaged 1,956.8 votes per district for President Clinton.

The standard deviation was 572.3. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district.

a. State the approximate distribution of X.

b. Is 1,956.8 a population mean or a sample mean? How do you know?

c. Find the probability that a randomly selected district had fewer than 1,600 votes for President Clinton. Sketch the graph and write the probability statement.

d. Find the probability that a randomly selected district had between 1,800 and 2,000 votes for President Clinton.

e. Find the third quartile for votes for President Clinton.

About what percent of xvalues lie between the second and third standard deviations (both sides)?

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.

Sign-up for free