In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of 5.5 and a standard deviation of 2.1. Answer parts ​(a)–​(d) below.       Question content area bottom Part 1 ​(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 0.23753   0.23753. ​(Round to four decimal places as​ needed.) Part 2 ​(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 0.3560   0.3560. ​(Round to four decimal places as​ needed.) Part 3 ​(c) Find the probability that a randomly selected study​ participant's response was more than 8.   The probability that a randomly selected study​ participant's response was more than 8 is enter your response here   . ​(Round to four decimal places as​ needed

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In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of
5.5
and a standard deviation of
2.1.
Answer parts
​(a)–​(d)
below.
 
 
 

Question content area bottom

Part 1
​(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
0.23753
 
0.23753.
​(Round to four decimal places as​ needed.)
Part 2
​(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
0.3560
 
0.3560.
​(Round to four decimal places as​ needed.)
Part 3
​(c) Find the probability that a randomly selected study​ participant's response was more than
8.
 
The probability that a randomly selected study​ participant's response was more than
8
is
enter your response here
 
.
​(Round to four decimal places as​ needed.)
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