In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 6.1 and a standard deviation of 2.3. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is 0.1806. (Round to four decimal places as needed.) (b) Find the probability that a randomly selected study participant's response was between 4 and 6. The probability that a randomly selected study participant's response was between 4 and 6 is (Round four decimal places as needed.)

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
icon
Related questions
Question
In a recent study on world happiness, participants were asked
with a mean of 6.1 and a standard deviation of 2.3. Answer parts (a)-(d) below.
evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The responses were nomally distributed,
(a) Find the probability that a randomly selected study participant's response was less than 4.
The probability that a randomly selected study participant's response was less than 4 is 0.1806. (Round to four decimal places as needed.)
(b) Find the probability that a randomly selected study participant's response was between 4 and 6.
The probability that a randomly selected study participant's response was between 4 and 6 is- (Round to four decimal places as needed.)
Transcribed Image Text:In a recent study on world happiness, participants were asked with a mean of 6.1 and a standard deviation of 2.3. Answer parts (a)-(d) below. evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The responses were nomally distributed, (a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is 0.1806. (Round to four decimal places as needed.) (b) Find the probability that a randomly selected study participant's response was between 4 and 6. The probability that a randomly selected study participant's response was between 4 and 6 is- (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill