### Binomial and Normal Distribution Matching ExerciseThis exercise aims to match normal distribution probability statements with their corresponding binomial probability statements.#### Binomial Probability Statements:1. \( P(x > 114) \)2. \( P(x < 114) \)3. \( P(x \geq 114) \)4. \( P(x \leq 114) \)#### Normal Distribution Probability Statements:- \( P(x < 113.5) \)- \( P(x > 113.5) \)- \( P(x < 114.5) \)- \( P(x > 114.5) \)Drag each normal distribution probability statement given above to the number of the corresponding binomial probability statement listed below.#### Corresponding Binomial Probability Statements:5. 6. 7. 8. To complete this exercise, consider the nature of the numeric boundaries and inequality directions in each probability statement. Matching each correctly will solidify your understanding of how normal distribution approximations correspond to binomial distribution probabilities.

Answered: 5. P(x > 114) 6. P(x<114) 5. P(x<…

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

The lifetime of a housefly ranges from 18 hours to 30 hours, determine the probability that a fly selected at random will live AT LEAST 28 hours.
he mean height of women in a country (ages 20minus−29) is 63.663.6 inches. A random sample of 5555 women in this age group is selected. What is the probability that the mean height for the sample is greater than 6464 inches? Assume sigmaσequals=2.892.89.
E The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
16) A company randomly tests 30 components out of a batch of 10,000 to see if the components are defective. The rate of defectives in the past was known to be 0.02. Does this situation result in a binomial distribution? Yes or No (circle one) In your own words explain how this situation does or does not meet each of the 4 criteria required for all binomial distributions. 1. 2. 3. 4.
(a) What is the probability a randomly selected student in the city will read more than 96 words per minute? The probability is 0.2743. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different students were chosen from this population, we would expect | to read exactly 96 words per minute. O B. If 100 different students were chosen from this population, we would expect |to read less than 96 words per minute. O C. If 100 different students were chosen from this population, we would expect to read more than 96 words per minute.
8. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the probability that less than 3 hurricanes in a randomly selected year. O a. .1901 O b. None of the above O C. .2075 O d. .3701 O e..1016 日田
Power failures occur at an electric plant on average 3 times per year. If we can assume this follows a Poisson distribution, answer the following questions. a. What is the probability that there are 4 power failures in 2021? b. What is the probability that there are no more than 2 power failures in a given year? c. How likely is it that there are at least 3 power failures next year?
You find 6 statements below. Each statement is either true (T) or false (F) (write yourchoice in the table). 1) In a probability model, all possible outcomes together must have a probabilityof 1.2) A density curve describes the probability distribution of a discrete randomvariable.3) Outliers do not have a large effect when we calculate the mean.4) The probability of success for binomial distribution must remain the same foreach trail.5) In the Normal distribution with mean μ and standard deviation σ, approximately95% observations fall within ± 2σ of the mean μ.6) Since the median is the middle value of a data set it must always be smaller thanthe mean.
A student group has a mean age of 22 years with a sd=3.6 years. Assume ages are normally distributed. What integer represents -infinity what integer represents infinity Give probabilities as 2-decimal percentages and DO Not include the % symbol what is P(<19) What is P(17<x<23) If a group of 18 students is selected, what is P(<24)
Please don't copy
3
Fusi Q1) a- if the percentage infection of a disease in a country was 0.005. Thus, using binomial distribution the probability that there was no infection by that :disease in a town of 100,000 population is 0.00467 O 0.00476 O 0.00647 O 0.00674 O none of all above O

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

5. P(x > 114) 6. P(x<114) 5. P(x< 113.5) P(x>113.5) P(x<114.5) P(x>114.5) 7. P(x ≥ 114) Drag each normal distribution probability statement given above to the number of the corresponding binomial probability statement below. 6. 8. P(x ≤ 114) 7. 8.