Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

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

Use the information in Example 6.10 to answer the following questions.

  1. Find the 30thpercentile, and interpret it in a complete sentence.
  2. What is the probability that the age of a randomly selected smartphone user in the range 13to 55+is less than 27years old.

Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

What is the probability of spending more than two days in recovery?

a. 0.0580

b. 0.8447

c. 0.0553

d. 0.9420

In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

a. In words, define the random variable X

b.X~

c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.

d. What percent of children spend over ten hours per day unsupervised?

e. Seventy percent of the children spend at least how long per day unsupervised?

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

a. If X=distance in feet is for a fly ball, then X~

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis XShade the region corresponding to the probability. Find the probability.

c. Find the 80ithpercentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

A The distance of fly balls hit to the outfield in baseball is denoted as: N~N(250,50)

B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by P(x<220)=0.2743

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