MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
Relax! A recent survey asked
1678
people how many hours per day they were able to relax. The results are presented in the following table.
Number of Hours | Frequency |
0
|
112
|
1
|
185
|
2
|
337
|
3
|
254
|
4
|
318
|
5
|
230
|
6
|
150
|
7
|
30
|
8
|
62
|
Total |
1678
|
Send data to Excel
Consider these 1678 people to be a population. Let
X
be the number of hours of relaxation for a person sampled at random from this population.
Part 1 of 5
(a) Construct the probability distribution of
. Round the answer to three decimal places.
X
|
|
Part 2 of 5
(b) Find the probability that a person relaxes more than
hours per day.
6
The probability that a person relaxes more than
6
.04
|
|
Part 3 of 5
(c) Find the probability that a person doesn't relax at all.
The probability that a person doesn't relax at all is
0
|
|
Part 4 of 5
(d) Compute the mean
. Round the answer to two decimal places.
μx
μx
=
|
|
Part 5 of 5
(e) Compute the standard deviation
. Round the answer to three decimal places.
σx
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- Compute the variance of the probability distribution in the table below. Outcome Probability 65 0.3 66 0.1 67 0.1 68 0.5 Find the variance. σ2=nothing (Type an integer or a decimal.)arrow_forwardThe national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score 1 or 2 3 5 Percentage 40% 25% 23% 12% A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. Score 1 or 2 3 4 5 Count 18 19 37 26 The chi-square statistic for these data equals 38.4. What do we know about the P-value for testing if the national model can be used for students in this school district? P-value 0.005 Can't tellarrow_forwardQuiz: Self-Check 3.2 This Question: 1 pt 5 of 8 (4 cor Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 3 4 Probability 0.662 0.212 0.083 0,022 0.013 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. 卫三 (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. | (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. Click to selecCt your answer(S). Video Tuterial How to Find Probablitie T1-84. =earcharrow_forward
- Part 2 Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.) %(b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit % upper limit %arrow_forwardRelax! A recent survey asked 1682 people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 113 1 184 2 336 3 251 4 318 5 234 6 151 7 35 8 60 Total 1682 Send data to Excel Consider these 1682 people to be a population. Let X be the number of hours of relaxation for a person sampled at random from this population. Part 1 of 5 (a) Construct the probability distribution of X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x ) Part 2 of 5 (b) Find the probability that a person relaxes more than 4 hours per day. The probability that a person relaxes more than 4 hours per day is…arrow_forwardThe data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours 0 1 2 3 4 5 6 Employees 4 14 25 54 44 28 18 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (a) Construct the probability distribution by completing the table below. x 0 1 2 3 4 5 6 P(x) enter your response here enter your response here enter your response here enter your response here enter your response here enter your response here enter your response here (Round to three decimal places as needed.) (b) Choose the correct graph of the probability distribution. A. 012345600.10.20.30.4Overtime HoursProbability A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1…arrow_forward
- The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours 0 1 2 3 4 5 6 Employees 4 14 35 53 46 26 17 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (a) Construct the probability distribution by completing the table below. x 0 1 2 3 4 5 6 P(x) nothing nothing nothing nothing nothing nothing nothing (Round to three decimal places as needed.)arrow_forwardTime to review: The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population. Time(Months) Number of Articles 0-0.9 48 1.0-1.9 18 2.0-2.9 15 3.0-3.9 20 4.0-4.9 10 5.0-5.9 13 (a) Approximate the variance of the times. Round the answer to at least two decimal places. The variance is (b) Approximate the standard deviation of the times. Round the answer to at least two decimal places.The standard deviation is Can you please help me with question a & b? A) variance b) standard deviationarrow_forwardpart C D Earrow_forward
- The normal distribution curve can be used as a probability distribution curve for normally distributed variables. Group of answer choices False Truearrow_forwardThe table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor H= 51.0 H = 43.0 6 = 6.9 0 = 16 In a particular year, the Best Actor was 50 years old and the Best Supporting Actor was 47 years old. Determine the z-scores for each. Best Actor: z = Best Supporting Actor: z = (Round to two decimal places as needed.) Clear All Check Answer Help Me Solve This View an Example Get More Help - 10:22 PM P Type here to search 68°F Cloudy ^ 24 88 10/7/2021 10.0517 Esc FI C F5 F2 F3 F4 F6 F7 F8 PrtSc Insert Delete F9 F10 F11 F12 C@ 3 6 80 Backspace Num Lock T Y U P 7 Home PaUp S D G +II HI 5 LL LUarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman