### Compute the Mean and Standard Deviation of a Discrete Probability Distribution#### ProblemCompute the mean and standard deviation of the random variable with the given discrete probability distribution.| x | P(x) ||-----|------|| -3 | 0.23 || -2 | 0.15 || 7 | 0.25 || 9 | 0.27 || 10 | 0.1 |*[Send data to Excel]*#### SolutionPart 1 of 2(a) Find the mean. Round the answer to three decimal places, if necessary.The mean is [________].*[Check Answer]* [⮾ ⮿]Part 2 of 2(b) Find the standard deviation. Round the answer to three decimal places, if necessary.The standard deviation is [________].*[Check Answer]* [⮾ ⮿]---**Explanation and Instructions**- Begin by calculating the mean (expected value) for the given probability distribution. The mean is found using the formula: \[ \mu = \sum [x \cdot P(x)] \] Where \( x \) represents each value of the random variable, and \( P(x) \) is the corresponding probability.- Next, determine the standard deviation, which measures the spread of the random variable around the mean. Use the formula: \[ \sigma = \sqrt{\sum [(x - \mu)^2 \cdot P(x)]} \] Here, \( \mu \) is the mean you calculated previously.- Fill in your answers in the provided boxes and round to three decimal places as required. Use the tools provided to send the data to Excel if necessary, to perform additional calculations or verifications.

Let X be the random variable having probability mass function is, X P(X) -3 0.23 -2 0.15…

Answered: Compute the mean and standard deviation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 3 4 Probability 0.671 0.207 0.081 0.021 0.013 0.007 Find the mean of the probability distribution. |(Round to one decimal place as needed.) Find the variance of the probability distribution. o2 = (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. AS O A. A household on average has 0.5 dog with a standard deviation of 0.9 dog. B. A household on average has 0.5 dog with a standard deviation of 14 dogs. O C. A household on average has 0.9 dog with a standard deviation of 0.5 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. CL IN (1,0) More Next
Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 0 2 Probability 0.638 0.089 1 0.223 0= 3 0.026 4 0.015 5 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. (Round to one decimal place as needed.) Find the variance of the probability distribution. o² = (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. A. A household on average has 0.6 dog with a standard deviation of 15 dogs. B. A household on average has 1.0 dog with a standard deviation of 0.6 dog. C. A household on average has 0.9 dog with a standard deviation of 1.0 dog. OD. A household on average has 0.6 dog with a standard deviation of 1.0 dog. 0
Save Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 Probability 0.262 0.301 0.243 0.138 0.042 0.014 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is . (Round to one decimal place as needed.) Incorrect
Use the probability distribution for the random variable x to answer the question. 1 3 4 p(x) | 0.03 0.2 0.19 0.17 0.35 0.06 Locate the interval u + 20 on the x-axis of a probability histogram. You are given that the mean is 2.79 and the standard deviation is 1.34. What is the probability that x will fall into this interval?
Calculate the standard deviation ? of X for the probability distribution. (Round your answer to two decimal places.) x 0 1 2 3 P(X = x) 0.4 0.3 0.1 0.2 ? =
g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.
Test 1, #10. A sports analyst records the winners of car races for a recent season. The random variable x represents the races won by a driver in one season. Construct a probability distribution for x, then find its mean and find its standard deviation. Wins 1 3 4 Drivers 21 15 4 1
Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 Probability 0.061 0.122 0.164 0.178 0.211 0.127 0.082 0.055 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. The mean is ______so the average student is involved in_____The standard deviation is_____so the typical number of activities per student deviates_______
Complete the table below to find the mean, variance and standard deviation. Round all values to 3 decimal places. P(z) P(z) (11- 2). (z - 4)? (2- 4 P(z) 0.3 1 0.1 0.15 0.45 Variance Mean ElP(z)] || = 1 Find the standard deviation of this probability distribution. Standard Deviation o =
Compute the mean and standard deviation of the random variable with the given discrete probability distribution. P (x) -8 0.26 -7 0.1 0.13 0.27 5 0.24 Send data to Excel Part 1 of 2 (a) Find the mean. Round the answer to three decimal places, if necessary. The mean is Part 2 of 2 (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is
Compute the mean and standard deviation of the random variable with the given discrete probability distribution. * P(x) -9 0.11 -7 0.24 0.26 3 0.25 0.14 Send data to Excel Part 1 of 2 (a) Find the mean. Round the answer to three decimal places, if necessary. The mean is Part 2 of 2 (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is
Answer full question.

SEE MORE QUESTIONS

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS