1. Home
  2. Collaborative statistics (custom
  3. Continuous random variables
  4. Practice: the normal distribution

6.9 Practice: the normal distribution

<< Chapter < Page
  Collaborative statistics (custom   Page 1 / 1
Chapter >> Page >

Student learning outcomes

  • The student will analyze data following a normal distribution.

Given

The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for 3 years. We are interested in the length of time a CD player lasts.

Normal distribution

Define the Random Variable X size 12{X} {} in words. X = size 12{X={}} {}

X ~

Find the probability that a CD player will break down during the guarantee period.

  • Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.
    Empty normal distribution curve.
  • P ( 0 < x < _________ ) = _________ size 12{P \( 0<x<"_________" \) ="_________"} {} (Use zero (0) for the minimum value of x.)
  • 3,0 . 1979 size 12{3,0 "." "1979"} {}

Find the probability that a CD player will last between 2.8 and 6 years.

  • Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.
    Empty normal distribution curve.
  • P ( _______ < x < _______ ) = _________ size 12{P \( "_______"<X<"_______" \) ="_________"} {}
  • 2 . 8,6,0 . 7694 size 12{2 "." 8,6,0 "." "7694"} {}

Find the 70th percentile of the distribution for the time a CD player lasts.

  • Sketch the situation. Label and scale the axes. Shade the region corresponding to the lower 70%.
    Empty normal distribution curve.
  • P ( x < k ) = _________ size 12{P \( x<k \) ="_________"} {} . Therefore, k = __________ size 12{k="__________"} {} .
  • 0 . 70 , 4 . 78 size 12{0 "." "70",4 "." "78"} {} years

Questions & Answers

Explain the following terms . (1) Abiotic factors in an ecosystem
Nomai Reply
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
Qasim
what is biology
daniel Reply
what is diffusion
Emmanuel Reply
passive process of transport of low-molecular weight material according to its concentration gradient
AI-Robot
what is production?
Catherine
Pathogens and diseases
Reply
how did the oxygen help a human being
Achol Reply
how did the nutrition help the plants
Achol Reply
Biology is a branch of Natural science which deals/About living Organism.
Ahmedin Reply
what is phylogeny
Odigie Reply
evolutionary history and relationship of an organism or group of organisms
AI-Robot
ok
Deng
what is biology
Hajah Reply
cell is the smallest unit of the humanity biologically
Abraham
what is biology
Victoria Reply
what is biology
Abraham
HOW CAN MAN ORGAN FUNCTION
Alfred Reply
the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is respiration
Deborah
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
<< Chapter < Page Page > Chapter >>

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Collaborative statistics (custom online version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11476/1.5
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Collaborative statistics (custom online version modified by t. short)' conversation and receive update notifications?

Ask