In a recent study on worldhappiness, participants were asked to evaluate their current lives on a scale from 0 to10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normallydistributed, with a mean of 5.2 and a standard deviation of 2.2. Answer parts (a)-(d) below.

(a) Find the probability that a randomly selected studyparticipant's response was less than 4.

The probability that a randomly selected studyparticipant's response was less than 4 is

0.2912

0.2912. (Round to four decimal places asneeded.)

(b) Find the probability that a randomly selected studyparticipant's response was between 4 and 6.

The probability that a randomly selected studyparticipant's response was between 4 and 6 is

0.3492

0.3492. (Round to four decimal places asneeded.)

(c) Find the probability that a randomly selected studyparticipant's response was more than 8.

The probability that a randomly selected studyparticipant's response was more than 8 is

nothing

. (Round to four decimal places asneeded.)