/*! 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. 42 Use the following information to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 42 (page 386)

Use the following information to answer the next two exercises: The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.

X~_____(_____,_____)

Short Answer

Expert verified

X~N(4.1,1.3)

Step by step solution

01

Given Information

Given in the question that, The life of Sunshine CD players is normally distributed with mean of 4.1years and a standard deviation of 1.3years. A CD player is guaranteed for three years

We have to find the normal distribution of the random variablex

02

Explanation

From the information given in the question, it is known that the life of sunshine CD player is normally distributed with mean 4.1years and standard deviation 1.3years:

Here,

X~N(渭,蟽)

Where,

渭=4.1

蟽=1.3

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 company manufactures rubber balls. The mean diameter of a ball is 12cmwith a standard deviation of 0.2 cm. Define the random variable Xin words. X=______________.

Use the following information to answer the next four exercises:

X~N(54,8)

Find the probability thatx>56.

Terri Vogel, an amateur motorcycle racer, averages 129.71seconds per 2.5mile lap (in a seven-lap race) with a standard deviation of 2.28seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.

a. In words, define the random variable X.

b. X~,

c. Find the percent of her laps that are completed in less than 130seconds.

d. The fastest 3%of her laps are under

e. The middle 80%of her laps are from seconds to seconds.

What is the z-score of x= 7, if it is 0.133 standard deviations to the left of the mean?

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

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.