The sofas I’m shopping for have prices that are well approximated by a normal distribution with mean ? = $850 and standard deviation ? = $120. With this information, what is the probability a. that I find a sofa that meets my goal of costing no more than $400. b. that I find a sofa that I can pay for with my extra money earned this summer from babysitting at $825. c. someone shows me a really nice sofa that costs as much as my first car: $1200.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The sofas I’m shopping for have prices that are well approximated by a normal distribution with mean ? = $850 and
standard deviation ? = $120. With this information, what is the probability
a. that I find a sofa that meets my goal of costing no more than $400.
b. that I find a sofa that I can pay for with my extra money earned this
summer from babysitting at $825.
c. someone shows me a really nice sofa that costs as much as my first car: $1200. 

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What function in R would I use to solve these? I've tried both dnorm and pnorm but don't get the same values as above. 

 

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