Suppose the random variable X has the following probability distribution:

Q: Given the following probability distribution:      X      P(X)      10    0.1      20    0.4      30…

A: Given data and calculation for the expected value is shown

Q: If Z is a random variable having the standard nor-mal distribution, find the probabilities that it…

A: a) The required is calculated as follows:

Q: 2. Let X be a random variable with the following probability distribution: -4 1 P(X)| 0.2 0.3 0.4…

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Q: 3 4 2. 2 3 10 10 P(X) 10 10 10 2.

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Q: Find the mean, variance and standard deviation of each of the probability distribution.

A: The following table shows the provided outputs of the discrete random variables, along with the…

Q: 1. Is the graph shown a probability distribution of a discrete random variable? Why or why not?

A:

Q: Given the table of probabilities for the random variable x, does this form a probability…

A: A random variable X is said form a probability distribution if; 1) 0≤P(x)≤1 2) ∑xP(x)=1

Q: Compute the mean and variance of the following discrete probability distribution. P(x) .2 1 2 .3 3…

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Q: a. P(x = 1) = b. P(x 3) = d. P(0 < x < 2)

A:

Q: consider a discrete random variable Y with the following probability table. -2 3 9. 12 p(y) 0.21…

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Q: Consider the following probability distribution: P(X) 1 0.1

A: Condition for valid distribution is  ∑PX=1

Q: Determine whether the following is a discrete random variable or not. The number of restaurants in…

A: Discrete random variable: When the values taken by the variable are countable, that is if space…

Q: Is the following a Probability Distribution Function?

A: Given : x p(x) 0 0.01 1 0.97 2 0.02 3 0.1

Q: Find the probability of being dealt an 8-4-1 distribution, that is, eight cards of one suit, four of…

A: Given that, A bridge hand consists of an unordered arrangement of 13 cards dealt at random from an…

Q: Let X be a discrete random variable with the following probability distribution -3 6 P(X=x) Find…

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Q: Below is the probability distribution for number of children a person has in a specific town. x…

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Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: Expected value of X= ∑x·P(X=x) X P(X) X*P(X) 100 0.1 10 150 0.2 30 200 0.3 60 250 0.3 75…

Q: The following table lists the probability distribution of a discrete random variable x: 2 3 4 6 7 8…

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Q: Consider the following probability distribution for a random variable X : X 3 4 6 7 Р(X) 0.15 0.10…

A: Given, P(X≤5.5)=?

Q: If X has a geometric distribution with θ = 13 , findthe formula for the probability distribution of…

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Q: A recent review of the students at the community college and the number of classes they take finds…

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Q: A random variable X has the following probability distribution. -2 -1 1 2 3 P(X) K 0.11 2K 0.19 3K…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Find the expected value of the following probability distribution. Round to the nearest tenth.

A: From the given: X P(X) X·P(X) 1 1/2 1/2 2 1/3 2/3 3 1-1/2-1/3=1/6 1/2

Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: Given Data :

Q: Consider a random variable with the following probability distribution:  X          P(X) 0…

A: The table shows the probability distribution of X.

Q: b) Create a probability distribution for the random variable C

A: From the give information, Consider, probability distribution table: C=c P (C=c) 2…

Q: Find the expected value of the random variable with the following probability distribution: 3 6. .03…

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Q: Consider the following probability distribution: P(X) 1 0.1 3 0.2 0.3 What is the mean of the…

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Q: The joint probability distribution of two random variables X, Y is indicated in the table below.…

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Q: 1. Identify if the following distribution is a valid probability distribution for a discrete random…

A: A distribution is said to be valid probability distribution if it satisfies following properties…

Q: Find the mean and the variance of the discrete random variable X, whose probability distribution is…

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Q: Consider the probability distribution of a binomial random variable X given below: 1 2 3 4…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose x is a random variable best described by a uniform probability distribution with c=7 and d=…

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Q: Define the following: a) random variable b) probability distribution c) expected value

A: a) Random variable : A random variable is a variable whose value is unknown or a function that…

Q: The table below gives the joint probabilities distribution of two random variables X & Y Green (X=1)…

A: Here we have given joint probabilities distribution of two random variable of X and Y…

Q: Calculate the expected value of X for the given probability distribution. 2 4 PIX-) 01 0.6 0.2 0.1

A: Expected value of x is given by,                                        E(x) = ∑ X P(X)

Q: Consider the following probability distribution: 0. 1 4 p(x) 1/3 /3 1 /3

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Q: 2. Compute the mean and variance of the following discrete probability distribution. P(x) .5 .3 10…

A: The mean of the variable X obtained as given below: Here, X denotes the observation.

Q: Given the following probability distribution, Find P(x-2) 3 4 P(x=x) 0.2 0.05 0.2 0.25 P(x-2)%=D

A: In general, the total probability is always 1.

Q: Find the mean and variance of the following probability distributions.

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Q: which of the following probability distributions is a random variable?

A: Given that  Some probability distributions for a random variable   We know that  ∑P(X) =1 We check…

Q: In which probability distribution would a random variable XX have E(X)=λE(X)=λ?

A:

Q: 3. Construct a probability distribution for the data and draw a histogram for the following:

A:

Q: Given the probability distribution table, what is the expected value and variance of the discrete…

A: The expected value is defined as E(X) = ∑x.P(X) And variance is calculated as Var(X) = E(X2) -…

Q: The following is a probability distribution for a discrete random variable X. 0 1 2 5 P(X) 0.1 0.2…

A: The formula of the expected value is,

Q: Given the composite probability function of a random variable x and y, which of the following is…

A: The marginal distribution of y is  f(y) = 2y   The condition distribution of X/Y is given by

Q: Calculate the expected value of x in the probability distribution shown * 1 2 3 p(x) .1 4 4 .1

A: Given data is X 0 1 2 3 P(X) 0.1 0.4 0.4 0.1

Q: The probability distribution is as follows: P(X) Mean:

A: Any real value function defined from sample space corresponding to the probability is known as…

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.