starter
Download
Skip this Video
Download Presentation
Starter

Loading in 2 Seconds...

play fullscreen
1 / 8

Starter - PowerPoint PPT Presentation


  • 119 Views
  • Uploaded on

Starter. The length of leaves on a tree are normally distributed with a mean of 14cm and a standard deviation of 4cm. Find the probability that a leaf is: Longer than 14cm Between 14cm and 17cm in length Between 12cm and 15cm in length.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Starter' - tallis


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
starter
Starter
  • The length of leaves on a tree are normally distributed with a mean of 14cm and a standard deviation of 4cm.
  • Find the probability that a leaf is:
  • Longer than 14cm
  • Between 14cm and 17cm in length
  • Between 12cm and 15cm in length
slide2

Find the number of leaves in a sample of one hundred leaves which would be expected to be less than 9cm in length.

Two leaves are randomly selected. What is the probability that both are less than 9cm?

note 10 inverse normal
Note 10: Inverse Normal
  • Sometimes we know the probability and are asked to find the cut-off point that gives that probability.
  • Method to solve:
  • Draw a bell shaped curve
  • Use the inverse normal function on the calculator
example 1
Example 1:

The length of Christmas tree branches from a plantation are normally distributed with a mean of 180cm and a standard deviation of 20cm.

5% of all branches are considered too small to use as Christmas tree decorations. Find the maximum length of branches that are too small.

slide5

0.05

X

180

Calculator – Inverse Normal

New Calculator – Tail Left

Area = 0.05

Std dev = 20

Mean = 180

X = 147.1

Maximum length of branches that are too small is 147.1cm

slide6

Example:The heights ofall year 12 pupils were measured and found to be normally distributed with a mean of 170cm and a standard deviation of 7cm.

Find the height that 75% of the students are taller than.

0.75

X

170

slide7

0.75

X

170

X = 165.3

75% of students are taller than 165.3cm

New Calculator

Tail Right

Area = 0.75

Std dev = 7

Mean = 170

Old Calculator

Area to left = 0.25

Std dev = 7

Mean = 170

ad