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 5.8 and a standard deviation of 2.2. 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 enter your response here. (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 enter your response here. (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 enter your response here. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. There are no unusual events because all the probabilities are greater than 0.05. 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 normally distributed, with a mean of 5.8 and a standard deviation of 2.2. 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 enter your response here. (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 enter your response here. (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 enter your response here. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. There are no unusual events because all the probabilities are greater than 0.05. 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
5.8
and a standard deviation of
2.2.
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
enter your response here.
(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
enter your response here.
(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
enter your response here.
(Round to four decimal places as needed.)(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
The events in parts
(a) and (c)
are unusual because their probabilities are less than 0.05.The event in part
(a)
is unusual because its probability is less than 0.05.There are no unusual events because all the probabilities are greater
than 0.05.The events in parts (a), (b), and (c) are unusual because all of their probabilities are
less
than 0.05.Expert Solution
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