Give an example of a random variable and an example of a non-random variable.

Q: What does combination mean in probability?

A: Combinations in probability are the number of ways to calculate the total outcomes of an event where…

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: The probability that an adult possesses a credit card is .35. A researcher selects two adults at…

A: Given information- We have given the probability that an adult possesses a credit card p = 0.35 The…

Q: A city council consists of four Democrats and seven Republicans. If a committee of four people is…

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Q: The probability that an adult possesses a credit card is .35. A researcher selects seven adults at…

A: We have to find  probability..

Q: In a game, you have a 1/43 probability of winning $142 and a 42/43 probability of losing $6. What is…

A: The probability of winning $142 is 1/43 and the probability of losing $6 is 42/43.

Q: How do you determine the values of a random variable?

A: A random variable is a numerical description of the outcome of a statistical experiment. A random…

Q: ) In a game, you have a 1/36 probability of winning $94 and a 35/36 probability of losing ss. What…

A: Let X denote the value of the game.  Given that P(X = 94) = 1/36 P(X = -8) = 35/36

Q: Find the mean of the random variable.

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Q: What is a random variable?

A: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.…

Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

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Q: A school nurse records the height of all the students in the school. If X is a random variable…

A: Given: Random variable representing the height of the students.

Q: Explain the two different types of random variables?

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Q: Which of the following random variables are independent? Explain.

A: We have to determine which pair of random variables are independent.

Q: What is a discrete random variable?

A: DISCRETE RANDOM VARIABLE →Discrete random variable is a random variable with a finite or a countable…

Q: A variable that measures the count of the number of successes when only two outcomes are possible is…

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Q: If X is a constant random variable and Y is any random variable. Are X and Y independent or not?…

A: Given X is a constant random variable Y is any Random variable f(x) = c f(y) = y If x and y are…

Q: What is the difference between the two types of random variables?

A: Random variables are those that assume numerical values determined by the outcome of an experiment.…

Q: Yahtzee! Find the probability of getting a 5 of a kind when rolling five dice.

A: Given information- We have given five dice. We have to find the probability of getting a 5 of a…

Q: How do you know whether a random variable is continuous or discrete?

A: Discrete variable : It is countable. The discrete variables comes from counting number. It assumes…

Q: representing the number of even number outcome

A: We know that the  If a person tosses one die then he or she may get  S={1,2,3,4,5,6} as a sample…

Q: Define the Mean and Variance of Sums of Random Variables?

A: The mean of a random variable X is a weighted average of the possible values that the random…

Q: Vision Correction A survey sponsored by the Vision Council showed that 79% of adults need correction…

A: Binomial distribution:The probability mass function for binomial distribution is,

Q: Which of the following is an example of a continuous random variable?Single choice. (1 Point) Number…

A: Continuous random variable  If data can take infinite number of value then the variable continuous…

Q: Caleb has a four-sided die, a six-sided die, and a 12-sided die. He rolls the three dice and adds up…

A: Given data: The number of the four-sided dies is a=1. The number of the six-sided dies is b=1. The…

Q: A school newspaper reporter decides to randomly survey 16 students to see if they will attend Tet…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: The proportion of pure gold in a certain metal sample has a bet distribution with a = 3 and B = 1.…

A: the probability that one of these samples will have more than 50% pure gold Let X be proportion of…

Q: Which of the following is not a discrete random variable? The number of heads when we toss two…

A: Option C is the answer. If we take option A , the number of heads when we toss a coin is discrete in…

Q: If two coins are tossed which is not a possible value of the random variable for the number of…

A: Given two coins are tossed

Q: What does the probability distribution of a discrete random variable tell you?

A: The discrete random variable is obtained by counting values for which there are no in-between…

Q: Social Networking Based on data from the Pew Internet Project, 74% of adult Internet users use…

A: The probability of getting an adult Internet user who uses the social networking sites is 74%.

Q: The number of death due to diabetes and kidney disease for an American during 2015 is respectively…

A: The number of death due to diabetes and kidney disease for an American during 2015 is respectively…

Q: In a game you have a 1/99 probability of winning $500 and a 98/99 probability of losing $30. What is…

A: Formula to find expected value is as follows : E(X) = ∑xP(x)

Q: Who wrote the book Moderate methods of Probability?

A: Probability is the chance of occurrence of an event.

Q: The probability that an adult possesses a credit card is .65. A researcher selects three adults at…

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Q: A colony of laboratory rats contain 16 white rats and 9 spotted rats.What is the probability of…

A: Introduction:Probability of an event is the number of outcomes favorable to the event, divided by…

Q: What do you notice about the probability values of random variable in each probability distribution?

A: Given problem Given that   The probability of each value of a random variable is between 0 and 1.(…

Q: Scenario:Asking your classmates about their breakfast what is discrete random variable?

A: Discrete random variable taking the countable number of distinct values only like 0,1,2,3,.....etc.…

Q: Which of the following is not a Discrete Random Variable?    a. Rain   b. Number of Books in the…

A: Discrete Random variable: discrete random variableis variable it takes coutable number of…

Q: State the frequentist interpretation of probability.

A: The probability of an event is obtained as the ratio of favorable number of cases to the total…

Q: You pick three letters at random (without replacement) from the word ASSESSMENT. What is the…

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Q: Explain what it means for two random variables to be independent, both mathematically and in…

A: In real world, we are surrounded with a lots of problems involving uncertainty. Random variables…

Q: Part B In randomized response study participants are asked a sensitive question. For example, how…

A: Please check the solution below

Q: Illustrate the probability distribution if X is the random variable that represents the number of…

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Q: What do we mean when we say that two random variables are independent? (Briefly. You may use an…

A: Two random variables are independent if the product of marginal probability functions of them…

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: If X is a random variable, so is ∛X. Explain why .

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Q: Calculate the variance to try throwing a dice once?

A: Logically by a random variable, we mean a real number X associated with the outcomes of a random…

Q: A shipment of 10 microwave ovens contains 2 defective units. A restaurant buys four of these units.…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.