10. Tell whether the given values representa Probability Distribution or not. P(1) = 1/4,P(2) = 1/8 , P(3) = 1/4 , P(5) = 1/8%3Da. Not Probability Distributionb. Probability Distribution11. "The volume of water in a swimmingpool" is an example of .a. Discrete Random Variableb. Continuous Random Variable

10)Given data is P(1)=14,P(2)=18,P(3)=14,P(5)=18

Answered: 10. Tell whether the given values…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let x be the number of courses for which randomly selected student at a university is registered. The probability distribution of x appears in the following table. ( all students must be enrolled in between 1 and 7 classes ) x. 1 2 3 4 5 6 7 P (x) ( 0.02 ) ( 0.04 ) (0.09 ) (0.24) ( 0.39 ) ( 0.17 ) ( .05 ) a. Find mean (x) ( round to two decimal places ) B. Find standard deviation of x ( round to two decimal places ) c. What is the probability that x is within 1 standard deviation of the mean? In other words solve: p ( mean of x - standard deviation of x < x < mean of x + standard deviation of x )=
80. The World Bank records the prevalence of HIV in countries around the world. According to their data, "Prevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with HIV."1 In South Africa, the prevalence of HIV is 17.3%. Let X = the number of people you test until you find a person infected with HIV. a. Sketch a graph of the distribution of the discrete random variable X. b. What is the probability that you must test 30 people to find one with HIV? c. What is the probability that you must ask ten people? d. Find the (i) mean and (ii) standard deviation of the distribution of X.
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 4 5 6 7 1 1 13 5 a. Determine the probability distribution of the random variable Y. 4 6. 7 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 6, a value less than 6, and a value of at least 6. The event that Y takes on the value 6 can be represented as The event that Y takes on a value less than 6 can be represented as The event that Y takes on a value of at least 6 can be represented as c. Find P(Y = 6), P(Y 6). P(Y = 6) = (Type an integer or a decimal. Do not round.) P(Y<6) = (Type an integer or a decimal. Do not round.) P(Y 2 6) = (Type an integer or a decimal. Do not round.)
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied, P(x) O 0.086 0.326 0.414 0.174 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. O E. No, not every probability is between 0 and 1 inclusive.
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
d and e only

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