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 nomally distributed, with a mean of 6.3 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 0.1587. (Round 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 0.2896. (Round to four decimal places as needed.) (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 0.2299. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. There are no unusual events because all the probabilities are greater than 0.05. O B. The event in part (a) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05. O D. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
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 nomally distributed, with a mean of 6.3 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 0.1587. (Round 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 0.2896. (Round to four decimal places as needed.) (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 0.2299. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. There are no unusual events because all the probabilities are greater than 0.05. O B. The event in part (a) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05. O D. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text: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 nomally distributed,
with a mean of 6.3 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 0.1587. (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 0.2896. (Round to four decimal places as needed.)
(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 0.2299. (Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. There are no unusual events because all the probabilities are greater than 0.05.
O B. The event in part (a) is unusual because its probability is less than 0.05.
Oc. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05.
O D. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
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