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18E Notes-4.notebook, Slides of Probability and Statistics

University of Washington (UW) - Seattle Probability and Statistics

Example: The weights of adult male African elephants are normally distributed with a mean weight of 11,000 pounds.

Typology: Slides

2022/2023

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18ENotes4.notebook

1

June03,2016

Jan135:40AM

Ex.

Averageheightofpeopleinatownis

170cm,andthestandarddeviationofthe

heightsis10cm.

a)Howmanystandarddeviationsis165cm

fromthemean?

b)shorterthan165cm?

Whatistheprobabilitythatarandomly

selectedresidentis...

c)between180cmand190cmtall?

d)tallerthan176cm?

normcdf(lowervalue,uppervalue,

μ

,

σ

)

Reallifedata(withGDC)

e)If10peoplearerandomlychosen,whatis

theprobabilitythatmorethan5aretallerthan

176cm?

f)If10peoplearerandomlychosen,whatis

theprobabilitythatlessthan3aretallerthan

176cm?

Jun110:33AM

Example:TheweightsofadultmaleAfricanelephantsare

normallydistributedwithameanweightof11,000pounds

andastandarddeviationof900pounds.

a)Findtheprobabilitythatanelephantweighsmorethan

12,000pounds.

b)Findtheprobabilitythatanelephantweighslessthan

7000pounds.

c)Findtheprobabilitythatanelephantweighsbetween

9000and11000pounds.

Discover Slides of Probability and Statistics University of Washington (UW) - Seattle

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Jan 135:40 AM Ex. Average height of people in a town is 170 cm, and the standard deviation of the heights is 10 cm. a) How many standard deviations is 165 cm from the mean? b) shorter than 165 cm? What is the probability that a randomly selected resident is... c) between 180 cm and 190 cm tall? d) taller than 176 cm? normcdf(lower value, upper value, (^) μ, (^) σ) Reallife data (with GDC) e) If 10 people are randomly chosen, what is the probability that more than 5 are taller than 176 cm? f) If 10 people are randomly chosen, what is the probability that less than 3 are taller than 176 cm? Jun 110:33 AM

Example: The weights of adult male African elephants are

normally distributed with a mean weight of 11,000 pounds

and a standard deviation of 900 pounds.

a) Find the probability that an elephant weighs more than

12,000 pounds.

b) Find the probability that an elephant weighs less than

7000 pounds.

c) Find the probability that an elephant weighs between

9000 and 11000 pounds.

Jun 211:29 AM Feb 283:39 PM 18E Inverse Normal Distribution

Find the value of z for each problem

Use "InvNorm" when you know the probability.

InvNorm(probability) gives you the zvalue.

InvNorm(prob, mean, stand. dev.) gives the xvalue.

1) P( Z < z ) = 0.547 2)^ P( Z^ >^ z )^ =^ 0.

P( Z > z ) = 0.

Feb 283:48 PM Ex. 3 The average weight of a group of people is 69.5 kg. 13% of them weigh at least 72.1 kg. What is the standard deviation?