Question

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 4.7 and a standard deviation of 2.4. Answer parts ​(a)dash​(d) below

a) Find the probability that a randomly selected study​ participant's response was less than

44.

The probability that a randomly selected study​ participant's response was less than 4 is

nothing.

​(Round to four decimal places as​ needed.)

​(b) Find the probability that a randomly selected study​ participant's response was between

44

and

66.

The probability that a randomly selected study​ participant's response was between

44

and

66

is

nothing.

​(Round to four decimal places as​ needed.)

​(c) Find the probability that a randomly selected study​ participant's response was more than

88.

The probability that a randomly selected study​ participant's response was more than

88

is

nothing.

​(Round to four decimal places as​ needed.)

​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

A.The event in part

left parenthesis a right parenthesis(a)

is unusual because its probability is less than 0.05.

B.The events in parts

left parenthesis a right parenthesis and left parenthesis c right parenthesis(a) and (c)

are unusual because their probabilities are less than 0.05.

C.

The events in parts left parenthesis a right parenthesis comma left parenthesis b right parenthesis comma and left parenthesis c right parenthesis are unusual because all of their probabilities areThe events in parts (a), (b), and (c) are unusual because all of their probabilities are

lessless

than 0.05.

D.

There are no unusual events because all the probabilities are greater There are no unusual events because all the probabilities are greater

than 0.05.

Answer 1