1) The Finnish Tax Administration's Center of Excellence in Tax Research has determined that a typical Finnish family of four spends between $400 and $3,800 per year on all types of insurance. This money spent is uniformly distributed between these amounts. a) What is the mean amount spent on insurance? b) What is the standard deviation of the amount spent? c) If a family is selected at random, what is the probability they spend less than $2,000 per year on insurance? d) What is the probability that a family spends more than $3,000 per year?

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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1) The Finnish Tax Administration's Center of Excellence in Tax Research has determined that a
typical Finnish family of four spends between $400 and $3,800 per year on all types of insurance.
This money spent is uniformly distributed between these amounts.
a) What is the mean amount spent on insurance?
b) What is the standard deviation of the amount spent?
c) If a family is selected at random, what is the probability they spend less than $2,000 per year on
insurance?
d) What is the probability that a family spends more than $3,000 per year?
Transcribed Image Text:1) The Finnish Tax Administration's Center of Excellence in Tax Research has determined that a typical Finnish family of four spends between $400 and $3,800 per year on all types of insurance. This money spent is uniformly distributed between these amounts. a) What is the mean amount spent on insurance? b) What is the standard deviation of the amount spent? c) If a family is selected at random, what is the probability they spend less than $2,000 per year on insurance? d) What is the probability that a family spends more than $3,000 per year?
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