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 5.6 and a standard deviation of 2.5.
(a) Find the probability that a randomly selected study participant's response was less than 44.
(b) Find the probability that a randomly selected study participant's response was between 44 and 66.
(c) Find the probability that a randomly selected study participant's response was more than 88.
Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.The event in part a its probability is less than 0.05.
B.The events in parts a/b are unusual because their probabilities are less than 0.05.
C.
There are no unusual events because all the probabilities are greaterThere are no unusual events because all the probabilities are greater than 0.05.
D.
The events in parts a/b/c unusual because all of their probabilities areThe events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
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