What is The expected value of a continuous random variable in math

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

A: The sample size is 25.

Q: What is the expected value (mean) of X?

A:

Q: What is the symbol for the probability of making a Type Il error?

A: We know that  σ=Population standard deviation β =Probability of making Type II errorn= Sample size z…

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: What is the expectation of X where X is a single roll of a fair 6-sided dice (S {1,2, 3, 4, 5, 6})?…

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

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Q: Find the mean of the random variable.

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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: What is a random variable?

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

Q: Define a continuous random variable.

A: Continuous random variable is given.

Q: variable with 31 degrees of freedom. What is the probability that X is less than 25?   and    Let X…

A: It is an important part of statistics. It is widely used.

Q: Identify the given random variable as being discrete or continuous. The braking time of a car

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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: Show that X and Y are both zero-mean random variables and that they uncorrelated.

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Q: What is the expected value of a continuous random variable? What is the expected value of an…

A: Definition used:

Q: What is random error?

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

Q: How can you find the expectation value of a discrete random variable X?

A: The expected value of discrete random variable is X is the summation of the product of the values of…

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: What is the probability that at least one accident will occurred in a randomly selected day? ii.…

A: a) At least one accident means 1 or more accidents. So, the probability is:  P(1)+P(2)+P(3)+P(4) =…

Q: Define random variables for discrete and continuous variable?

A: A random variable is a variable with an undefined value, or a function that assigns values to each…

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: 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: Why can decreasing the probability of a type I error cause an increase in the probability of a type…

A: Here use basic definition of type 1 and type 2 error .

Q: Two dice are rolled once at the same time. If it is known that X is the result of the sum of the…

A: The objective is to find the expected value and variance of X when two dice are rolled X is rv…

Q: A security system sets a false alarm with probability 0.1, independently between applications of the…

A: Let us denote X=the number of false alarmsn=Total number of alarms p=probability of success=…

Q: a. Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING PARTS

Q: Determine whether the random variable has a binomial distribution. If it does, state the number of n…

A: Solution: Let X be the random variable that the number of cards that must be drawn before a Heart…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A: Given information Let X denotes the no of phone calls λ = 10 X ~ Po(10) P.M.F for Poisson…

Q: Assume that the drawer contains 8 coins: 5 quarters, 2 dimes, and 1 nickels. One coin is randomly…

A: The probability of selecting quarter is 5/8The probability of selecting dime is 2/8The probability…

Q: Define Computing Probabilities Involving Normal Random Variables?

A: The normal distribution is a continuous probability distribution and it is a two-parameter…

Q: Determine if the random variables are statistically independent.

A: f(x)=∫yf(x,y) dy        =∫y=02(x2+xy3) dy                     =x2∫02dy +x3∫02y dy            =x2 y02…

Q: What is the expected value for the number of defective LCD

A: The number of LCDs (n) is 5.

Q: Define Probabilities and Moments of Continuous Random Variables?

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Q: Define the random variable X.

A: The table shows the probability distribution.

Q: Compute the expected value for X.

A: here  given  joint distribution of X and Y  here E(X) = ∑X.p(X)

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

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Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a peg from a…

A: Given: The probability of winning = 30% = 0.3

Q: A fair coin is flipped 100 times. The random variable X= number of heads out of the 100 tosses. What…

A: Solution: Let X be the number of heads out of the 100 tosses. From the given information, n=100.

Q: A discrete random variable is a random variable if it can take on an infinite number of values.

A: discrete random variable: A discrete random variable has acountable number of possible values. The…

Q: Explain Probability Distribution of a Continuous Random Variable?

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Q: Calculate the expected value of x, the sum of the scores, when two dice are rolled.

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

A: Given information: The data represents the probability distribution table for the variable X =…