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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 6.2 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. (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 (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 . (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), (b), and (c) are unusual because all of their probabilities are less than 0.05. O D. The events in parts (a) and (c) are unusual because 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 normally distributed, with a mean of 6.2 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. (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 (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 . (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), (b), and (c) are unusual because all of their probabilities are less than 0.05. O D. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 6.2 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. (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 isN. (Round 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. (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), (b), and (c) are unusual because all of their probabilities are less than 0.05. O D. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05.
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 normally distributed, with a mean of 6.2 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. (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 isN. (Round 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. (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), (b), and (c) are unusual because all of their probabilities are less than 0.05. O D. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05.
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