Which of the following statements about probability distributions is true?A) The probability mass function (PMF) applies to continuous random variables, and the probability densityfunction (PDF) applies to discrete random variables.B) The cumulative distribution function (CDF) describes the probability that a random variable takes on a value lessthan or equal to a specific value.C) A probability distribution must have a mean of zero and a standard deviation of one to be considered valid.D) The total area under the probability density function (PDF) curve for a continuous random variable can begreater than one.

When a random variable is less than or equal to a given value, the probability is displayed by the…

Answered: Which of the following statements about…

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 weekly demand of a slow-moving product has the probability mass function shown to the right. find the expected value, variance, and standard deviation of weekly demand.
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
The uniform probability density function ranging between 10 and 20 is used with Select one: a. a continuous random variable b. none of the above answers is correct c. a normally distributed random variable d. a discrete random variable
Consider two probability density functions: Select one: A. Data set A: 9₁ B. Data set A: f, Data set B: f OC. Data set A: g, Data set B: f Data set B: g For each of the following two observed data sets, which of the two density functions is more likely to be the true density of the data? • Data set A: {-0.7, 0.5, 0.2} Data set B: {-0.4,-0.2, 0.2, 0.4} D. O E. Data set A: f, Data set B: g The two densities are indifferent to both data sets f(x) = { 1 ² ₁ x, for 1
Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X=x). a) State the range of X. b) Write g as a set of ordered pairs. c) Draw a probability distribution as a histogram. d) Find g(2), and explain what this number represents. e) Find μ, and explain what this number represents. a) What is the range of X? OA. (0, 1, 2, 3, 4, 5) OB. (1, 2, 3, 4, 5) O C. (1, 2, 3) O D. {0, 1, 2, 3} b) Write g as a set of ordered pairs. Choose the correct answer below. 6 2 O A. O B. O C. O D. 2,16 (1¹, 9/6). (2, 4/6). (3. (1. 46). 96). (3.-4/6). (4. -7/6) O A. 4 c) Which of the following is the correct histogram of the probability distribution? Q M OB. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer in simplified form. Use the answer…
A motorcycle drives from Moraytato Lacson and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Morayta to Lacson and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by x y 0 1 2 3 4 0 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 (g) Give the standard deviation of X. Answer=
In a probability density function such as a Normal or bell-shaped curve, the area under the curve is used to make predictions about likelihoods and probabilities. What is the area (use a proportion) under the curve from the lowest possible value to the highest possible value?
A study of the wages of 100 persons grouped in class-intervals of Dollar 10-12, 12 14 ... etc. revealed the mean wage to dollar. 32.02 and its standard deviation as dollar. 13.18. Later, it was discovered that the wage of a labourer who was getting Dollar 57 was misread as 27. Calculate the correct mean and standard deviation?
Fill in the P(X=x)values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −2,1, 3, 4, and 5.
The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?
1. Differentiate and explain in detail each of the following continuous probability distributions: a. Continuous Uniform Distribution b. Normal Distribution c. Gamma and Exponential Distributions d. Chi-Squared Distribution e. Lognormal Distribution f. Extreme Value Distributions

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