The function that defines the probability distribution of a continuous random variable is a a. uniform function. b. probability density function. c. normal function. d. either normal of uniform depending on the situation.

The function that defines the probability distribution of a continuous random variable is a a. uniform function. b. probability density function. c. normal function. d. either normal of uniform depending on the situation.

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

QUESTION 14

The function that defines the probability distribution of a continuous random variable is a

a.
uniform function.

b.
probability density function.

c.
normal function.

d.
either normal of uniform depending on the situation.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

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
The table below shows the probability distribution function of the number of accidents (X) occur in a day by taxis belonging to a taxi company. x 0 1 2 3 4 P(X = x) 0.5 0.15 0.05 2k k (a) Find the value of k.(b) Find the expected value and standard deviation of the number of accidents (X) occurring in a day.(c) Assume the net profit ($), Y, of the taxi company in a day is given by Y = 10000 – 4000X. Find theexpected value, variance, and standard deviation of the net profit of the taxi company in a day.(d) What is the maximum profit the company earn in a day? What is the corresponding probability?(e) What is the probability that the company loses money in a day?(f) Find the probability that there are exactly 3 days that the company loses money in a week (7 days).
The following six graphs correspond to three probability density functions and their cu- mulative distribution functions, but they are all mixed up. 0.8 1.5 0.6 A. В. 0.4 0.5 0.2 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1 1.5 0.8 0.6 C. D. 0.4- 0.5 0.2 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1 0.8 0.6 E. F. 2 0.4 0.2 0.2 0.4 0.6 0.8 0.2 0.4 0,6 0.8 Identify the graphs for each of the three probability density functions (PDFS), in alphabetical order. For each PDF, indicate which graph represents the corresponding cumulative distribution funetion (CDF). PDF CDF
Choose ALL THE CORRECT STATEMENTS in the following ones about probability distribution. i. Probability mass function indicates the probability distribution of a continuous random variable. ii. Probability mass function indicates the probability distribution of a discrete random variable. iii. The probability mass function of a discrete random variable X at a is denoted by P(X < a). iv. The probability function of a continuous random variable Y can be described by using P(Y= a).
In the following table, x is a discrete random variable and p(x) is the probability density. The standard deviation of x is 1 2 p(x) 0.3 0.6 0.1
In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
Find the mean and variance of X given the following probability density function:
Y is a continuous random variable with the probability density function pictured. what is the mean of y?
The table below represents the probability density function for the random variable X. Find the standard deviation of X. x P(X = x) 0 1/6 1 1/6 4 1/3 7 1/3
2.1 The demand for a product varies from month to month. Based on data from past years, the following probability density function shows the probabilities of MNM company’s monthly demand. Probabilities of MNM company's monthly demand Unit Demand P(X=x) 1200 0.19 2100 0.30 3300 0.40 3800 0.11 a) What is the probability that MNM will sell 3300 units next month? b) Given the information above, how many units can they expect to sell in a month?
The table lists the drinking Sex Non-drinker Man Woman Total O A. 1.000 OB. 0.924 OC. 0.237 O D. 0.763 135 187 322 habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a non-drinker. Round your answer to three decimal placem Regular Drinker Heavy Drinker Total Total D 203 219 422 63 21 84 5 11 16 ***
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