Question content area top Part 1 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 4.44.4 and a standard deviation of 2.12.1. Answer parts (a)dash–(d) below. Question content area bottom Part 1 (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 enter your response here. (Round to four decimal places as needed.) Part 2 (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 enter your response here. (Round to four decimal places as needed.) Part 3 (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 enter your response here. (Round to four decimal places as needed.) Part 4 (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. None of the events are unusual because all the probabilities areNone of the events are unusual because all the probabilities are greatergreater than 0.05. C. The event in part left parenthesis c right parenthesis is unusual because its probability is lessThe event in part (c) is unusual because its probability is less than 0.05. D. The events in parts left parenthesis a right parenthesis and left parenthesis b right parenthesis(a) and (b) are unusual because their probabilities are less than 0.05.
Question content area top Part 1 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 4.44.4 and a standard deviation of 2.12.1. Answer parts (a)dash–(d) below. Question content area bottom Part 1 (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 enter your response here. (Round to four decimal places as needed.) Part 2 (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 enter your response here. (Round to four decimal places as needed.) Part 3 (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 enter your response here. (Round to four decimal places as needed.) Part 4 (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. None of the events are unusual because all the probabilities areNone of the events are unusual because all the probabilities are greatergreater than 0.05. C. The event in part left parenthesis c right parenthesis is unusual because its probability is lessThe event in part (c) is unusual because its probability is less than 0.05. D. The events in parts left parenthesis a right parenthesis and left parenthesis b right parenthesis(a) and (b) are unusual because their probabilities are less than 0.05.
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
Question
Question content area top
Part 1
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
4.44.4
and a standard deviation of
2.12.1.
Answer parts
(a)dash–(d)
below.Question content area bottom
Part 1
(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
enter your response here.
(Round to four decimal places as needed.)Part 2
(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
enter your response here.
(Round to four decimal places as needed.)Part 3
(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
enter your response here.
(Round to four decimal places as needed.)Part 4
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
The event in part
left parenthesis a right parenthesis(a)
is unusual because its probability is less than 0.05.None of the events are unusual because all the probabilities areNone of the events are unusual because all the probabilities are
greatergreater
than 0.05.The event in part left parenthesis c right parenthesis is unusual because its probability is lessThe event in part (c) is unusual because its probability is less
than 0.05.The events in parts
left parenthesis a right parenthesis and left parenthesis b right parenthesis(a) and (b)
are unusual because their probabilities are less than 0.05.AI-Generated Solution
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