Is the random variable given in the accompanying table discrete or continuous? Explain.

Q: Approximate the mean of the random variable X based on the simulation for 25 games. hits

A: The sample size is 25.

Q: Illustrate probability density function of a normally distributed random variable?

A: f(x)=12πσ2e-(x-μ)22σ2   -∞<x<∞     X~N(μ,σ2)

Q: Distinguish discrete random variable from continuos random variable and give three examples for…

A: Given: Discrete random variable Continuous random variable

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

A:

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: Now consider the random variable that is the average number of dots after four rolls. Is this…

A: Central Limit Theorem for mean: If a random sample of size n is taken from any population having…

Q: What is the difference between a discrete random variableand a continuous random variable?

A:

Q: Explain the term Random Variables? Define discrete & continuous random variables?

A: Random variable: A random variable, usually denoted as X, is a variable whose possible values are…

Q: Let X be a chi-squared random variable with 23 degrees of freedom. What is the probability that X is…

A: Given,degrees of freedom (d.f)=23

Q: What is a random variable?

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

Q: What is the probability that the random variable will assume a value between 45 and 55 (to 4…

A: Given: The population mean is μ=50. The population standard deviation is σ=5.

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: In inferential statistics, chance means: the sampling distribution of the mean standard error O…

A:

Q: What is random error?

A: In statistics and inference theory, there are two types of error which are there and cannot be…

Q: 2 dice were rolled and the given random variable x in the table below shows the sum of the 2 dice…

A:

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: What is the expected value of the probability distribution of the discrete random variable X?

A:

Q: What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75…

A: Given: Mean μ=2.5 Standard Deviation σ=0.25

Q: A newspaper finds that the mean number of typographical errors per page is 4. Find the probability…

A:

Q: Which random variable X is a discrete variable?

A: The number of degrees of the liquid can be in decimal. It can take any real value. So it is a…

Q: Define Probability Distribution of a Discrete Random Variable?

A: The probability distribution of a discrete random variable is a table that mentions all the possible…

Q: What information does the mean (expected value) of a continuous random variable give?

A: Query- What information does the mean (expected value) of a continuous random variable give? Answer-…

Q: Based on historical data, your manager believes that 26% of the company's orders come from…

A:

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: Assume this is a simple random sample from a population. Use the Empirical Method to estimate the…

A: The number of persons have some confidence in education institutions is 17867.

Q: Examine the discrete probability distribution given in the table. Calculate the expected value of…

A: The expected value of random variable X is,…

Q: The probability distribution for the random variable Wis given in the following table.

A: We have given that the, The probability distribution for the random variable W is defined as, w 3…

Q: Create a sample problems on the normal distribution of continuous probability distributions? Give…

A: Sample problem on normal distribution: The test scores of students studying Statistics in an…

Q: What are the two requirements for a discrete probability​ distribution?

A: Discrete random variable: A random variable which takes countable finite values.Discrete probability…

Q: need to do in order to accurately a random variable with a distribution estimated from prior…

A: Note: As the student has requested Q8, answer has been provided for Q8. The Problem here is to…

Q: 2 dice are rolled and the discrete variable x counts the number of 3's that appear. Plot the…

A:

Q: A probability distribution for all possible value of a sample statistic is known as?

A:

Q: . What is the expected value and what does it measure? How is it computed for a discrete probability…

A: In the theory of probability, the expected value of a random variable X denoted EX is a…

Q: Is it possible for a probability sample to be biased and to also lack independence? Please explain.

A: Probability sampling refers to the selection of a sample from a population, when this selection is…

Q: What is the probability of an event E in a uniform sample space S?

A: An event is E. An uniform sample space is S. n(E) is the number of outcomes in E. n(S) is the total…

Q: Consider a random variable that has a uniform distribution over 32 outcomes. find the average of…

A:

Q: Let X be a chi-squared random variable with 17 degrees of freedom. What is the probability that X is…

A: We want to find chi squre probabaility value

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: What is the probability of making a Type I error?

A:

Q: What is the expected value of the random variable? (Туре an integer or a decimal.)

A:

Q: 1. How do you determine the values of a random variable? 2. How do you know whether a random…

A: 1) To determine the possible values of a random variable, First of all we have to list all possible…

Q: 8) Suppose the probability that a tire is defective is 0.05. If 1000 tires are sampled, find: a. the…

A: GivenThe probability that a tire is defective p=0.05The total sample size n=1000 The number of tires…

Q: What is the probability that a random sample of size 8 out of 15 identified people will have an…

A: To find the probability that a random sample of size 8 out of 15 identified people will have an…

Q: What is the capital letter gamma denoting a gamma function? What does it do in a continuous…

A: Gamma (uppercase Γ, lowercase γ) is the third letter of the Greek alphabet. In the Greek numerals…

Q: Determine whether the value is a discrete random variable, continuous random variable, or not a…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here we will use definition of random ,…

Q: Explain Probability Distribution of a Continuous Random Variable?

A:

Q: What is difference between probability function and distribution function?explain with examples for…

A: Probability function : It is the function which is used to describe the probability distribution of…

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.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!