In a recent study on world happiness, participants were asked to evaluate their current liveson a scale from 0 to 10, where 0 represents the worst possible life and 10 represents thebest possible life.. The responses were normally distributed, with a mean of 6.1 and astandard deviation of 2.4. Answer parts (a)-(d) below....(a) Find the probability that a randomly selected study participant's response was less than4.The probability that a randomly selected study participant's response was less than 4 is0.1907. (Round to four decimal places as needed.)(b) Find the probability that a randomly selected study participant's response was between 4and 6.The probability that a randomly selected study participant's response was between 4 and 6 is0.2924. (Round to four decimal places as needed.)(c) Find the probability that a randomly selected study participant's response was more than8.The probability that a randomly selected study participant's response was more than 8 is(Round to four decimal places as needed.)

The mean is 6.1 and the standard deviation is 2.4.

Answered: In a recent study on world happiness,…

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 survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.7 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (b) Find the probability that a study participant has a height that is between 65 and 71 inches. The probability that the study participant selected at random is between 65 and 71 inches tall is nothing. (Round to four decimal places as needed.)
In a study investigating the effect of car speed on accident severity, 5,000 reports of fatal automobile accidents were examined, and the vehicle speed at impact was recorded for each one. For these 5,000 accidents, the average speed was 44 mph and the standard deviation was 17 mph. A histogram revealed that the vehicle speed at impact distribution was approximately normal. (Use the Empirical Rule.) (a) Approximately what percentage of these vehicle speeds were between 27 and 61 mph? approximately % (b) Approximately what percentage of these vehicle speeds exceeded 61 mph? (Round your answer to the nearest whole number.) approximately %
Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints Probability 0 0.16 1 0.26 2 0.35 week? 3 0.10 4 0.08 5 0.05 What is the standard deviation of complaints received per Please round your answer to the nearest hundredth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
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(a) Based on a recent study, the monthly utility bills for three-room flats in Singapore can be assumed to be normally distributed with mean $135 and standard deviation $42. If a household living in a three-room flat is randomly selected, i. What is the probability that its utility bill is more than $155 ii. What is the probability that its utility bill is between $129 and $165? ii. If 20% of the utility bills for households living in three-room flats are above a certain value V, find the value of V.
The daily sales of a small retail store in tokyo for the last 365 days are normally distributed with a mean of $2050, and a standard deviation of $300. From a sample of 49 days, what is the probability of having a sample mean less than $2000?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
A large corporation employs 19185 individuals. The average income of all employees is $70616, with a standard deviation of $19414 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 120 randomly selected employees.
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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places: Round your answer to at least three decimal places. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00
In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood pressures of adult men in the United States are normally distributed with a mean of 80.5 and standard deviation of 9.9. If an adult male is selected at random, what is the probability his diastolic blood pressure is above 90? Question 2 options: 0.1782 0.8218 0.1686 0.8314

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