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 4.6 and a standard deviation of 1.9. Answer parts (a) (d) below. The probability that a randomly selected study participant's response was less than 4 is .3745. (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. The event in part (c) is unusual because its probability is less 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 (b) are unusual because their probabilities are less than 0.05. O D. None of the events are unusual because all the probabilities are greater than 0.05.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 4.6 and a standard deviation of 1.9. 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.)

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.

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 4.6 and a standard deviation of 1.9. Answer parts (a) (d) below.
The probability that a randomly selected study participant's response was less than 4 is .3745. (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. The event in part (c) is unusual because its probability is less 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 (b) are unusual because their probabilities are less than 0.05.
O D. None of the events are unusual because all the probabilities are greater than 0.05.

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