A random variable take numerical values that describe the outcomes of some chance process.Random variables are usually capital lettersRandom variables can be discrete or continuousRandom variables must be numeric in valueA discrete random variable X takes a fixed set of possible values and has distinct values (usually no decimalsand sometimes not every number). The probability distribution of a discrete random variable X lists the valuesx, and their probabilities. This is done most commonly with a table.The probabilities must satisfy two requirements:Every probability p, is a number between 0 and 1The sum of the probabilities is 1Example: Put all the letters of the alphabet in a hat. If you choose a consonant, I pay you $1. If you choose avowel, I pay you $5. X is the random variable representing the outcome of the experiment. Create thedistribution ofX.Continuous Random Variables take on all possible values in an interval of numbers. The probabilitydistribution of X is described by a density curve.The probability of any event is the area under the density curve and above the values of X that makes upthat area.• Area under a density curve =Example:C21

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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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The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A. The result from part b, since it is the complement of the result of part a. B. The result from part a, since it is the exact probability being asked. C. The result from part a, since it less than the probability of the given or more extreme result. D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number of girls…
Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M F
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. a. Find the probability of getting exactly 1 girl in 8 births
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? *** O A. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. OB. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. OC. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the…
How do I solve this problem? In Guelph, a convenience store plans to form a team of three employees to boost its sales. To do this, the owner tosses a fair coin. A male employee makes the team if the coin turns up head. A female employee makes it otherwise. A. Find the sample space associated with this random experiment. B. What is the probability that at most two women will make the team? C. What is the probability that at least two women will make the team? What is the probability that less than two women will make the team? D. If there is at least one woman in a team of 3 employees, what is the probability of having two men in that team
Lesson 10 Q4 The number of accidents in a week is ___________? A.a continuous random variable. B.a discrete random variable. C.neither continuous nor discrete variable. D.continuous and discrete variables.
The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has between one and three cars, inclusive. Cars Households 0 135 1 418 2 242 3 122 4 83 0.218 0.782 0.135 0.418
Consider a game of rolling a single die, with the outcome as the random variable X. A player gains $10 if the outcome is {1, 2, 3} and a player loses $5 if the outcome is (4, 5, or 6}. It does not cost anything to play the game. Calculate o. Round to 2 decimal places.

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Example: Put all the letters of the alphabet in a hat. If you choose a consonant, I pay you $1. If you choose a vowel, I pay you $5. X is the random variable representing the outcome of the experiment. Create the distribution of X.