Illustrate a probability distribution of a random variable X showing the number of face mask sold per day and its corresponding probabilities.

Q: What is the sum of the probabilities of all outcomes in a probability distribution

A: To determine, Sum of all probabilities of a probability distribution = ?

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: Why can’t all the probabilities for a Poisson random variable be displayed in a probability…

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Q: what is the binominal probability distribution

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: How do you graphically portray the probability distribution of a discrete random variable?

A: Probability Histogram: A probability histogram is the graph of a probability distribution that gives…

Q: Explain the probability distribution of Size n random distribution?

A: The probability distribution of size n for random variables describes how the probabilities are…

Q: According to a census, the number of household size in a certain city was represented by a random…

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Q: What is the correlation p between X and Y for the joint probability table?

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Q: 1. Find the expected number of heads when three Coins are tossed based on the probability…

A: Given that  Three coin are tossed based on probability distribution.  Sample space. 0 , 1 , 2 , 3…

Q: Consider the probability distribution of a random variable x. Is the expected value of the…

A: Probability distribution is a mathematical function which gives the probabilities of the outcomes of…

Q: A physician acquires measurements of serum-triglyceride level from a group of patients in order to…

A: Non-parametric tests are used when the type of underlying distribution followed by chosen variable…

Q: Suppose the lifetime of a human has an expectation of 72 and variance 36. What is the probability…

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Q: How do you recognize when a probability problem requires the use of the basic rules of probability,…

A: a) If the total number of favorable cases and total possible cases are given then it is appropriate…

Q: what is the probability that the traveler will be arrested for illegal possession of narcotics?

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Q: A study shows that 15% of adult males don’t wash their hands in a public restroom. We take a random…

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Q: Suppose the random variable X has the following probability distribution:

A: Question 2) We have given that X has a random variable, taking the values 1,3,5,9 and corresponding…

Q: Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2,…

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Q: What is the Advantage and Disadvantage of Using the Binomial Probability Distribution

A: A binomial probability distribution is used when the number of trials are few and the probability of…

Q: If the probability distribution for the random variable X is given in the table, what is the…

A: The expected value of X is calculate as E(X) = ∑x.p(x)

Q: Why is it possible to define the probability of committing a Type I error but impossible to know the…

A: Definition of Type 1 & Type 2 Error : In hypothesis testing, a type 1 error is the rejection of…

Q: what is the difference between a Binomial probability distribution and the Poisson probability…

A: The binomial distribution is measure the number of certain random events within a certain frame is…

Q: If the probability of contracting a certain illness is 0.0433, would it be considered statistically…

A: Let p be the probability of contacting a certain illness  Given  p=0.0433

Q: what can you learn about random variable and probability distribution?

A: Random variable and probability distribution : First understand both terms separate - Random…

Q: What does the mean of a probability disturbution represent?

A: Any random variable can assume several values and there is a probability associated with each value.…

Q: What rule of probability permits you to obtain any probability for a discrete random variable by…

A: Probability Rules for Discrete random variable: The probabilities corresponding with the random…

Q: What is the probability distribution function of the number prime numbers when a number between 1…

A: Solution: Given data; Prime  number  from 1 to 25,inclusive,  randomly selected. To find:…

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: In Iraq the probability that families getting a boy at birth is 10% if random families with mean of…

A: Binomial distribution and Poisson distributions are descrete probability distributions. In binomial…

Q: in a carnival game, the player selects two coins from a bag containing three silver dollars and nine…

A: Assuming 1 silver dollar= $1 (because the value is not given) Given that there are 3 silver dollars…

Q: Give an example of two different random variables which have the same probability distribution (and…

A: 1) Considering a 6 face fair die  Let random variable X represents the outcome we get when we roll…

Q: Show the probability distribution function of the number of heads when three fair coins are tossed…

A: In the above case the random experiment is tossing  3 coins simultaneously. We can have 2*3=8…

Q: Waleed decided to construct a probability distribution of tossing five coins. Construct a…

A: Construct a probability distribution table for the given experiment using the binomial experiment.…

Q: What would be the expected value, variance and standard deviation of an event that always took the…

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Q: Define Probabilities and Moments of Continuous Random Variables?

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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: how can you use the concepts of the mean variance and standard deviation of the probability…

A: Mean: Mean for a probability distribution is the average expected return from the gamble It means…

Q: How does the probability of union of disjoint events exhibit itself when dealing with a (discrete or…

A: Introduction: Suppose there are n events, A1, A2, …, An. The general formula for the probability of…

Q: What type of probability involves repeating an experiment and recording the relative frequency of…

A: Probability which involves repeating an experiment and recording the relative frequencies of the…

Q: Determine the expected number of boys in a family with 8 children, assuming the sex distribution to…

A: Given data Determine the expected number of boys in a family with 8 children assuming the sex…

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

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Q: A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. Find the…

A: Given: A pair of fair dice is rolled. X is the random variable denoting the sum of dots on the top…

Q: What is required for a probability distribution to be considered binomial?

A: To consider a probability distribution as binomial, if it has a fixed number of indipendent trials…

Q: The probability distribution itself is assumed to be a beta distribution. True or false?

A: Beta Distribution is a probability Distribution, one of its most common uses is to model one's…

Q: Provide an example of a binomial random variable and explain how each condition for the binomial…

A: Let assume that the random variable X is the number of flights is on time. The random variable X…

Q: How is the probability distribution of a variable defined?

A: Probability distribution of a variable

Q: Is the expected value (mean) of the probability distribution of a random variable always one of the…

A: Expected value of a discrete random variable is given by

Q: What makes a discrete probability distribution valid?

A: There are two conditions that make a discrete probability distribution valid.

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.