Consider the following discrete probability distribution:  x P (x) 5 0.1 10 0.15 15 0.25 20 0.5 Calculate the expected value of the random variable.  Calculate the variance of x Calculate the standard deviation of x.

Q: Let X be a random variable with the following probability distribution. A) Find the expectation E(X)…

A: Given data, X P(X=x) -2 0.25 -1 0.15 0 0.35 1 0.25

Q: 1) Find the expected value (mean) and the variance for the following distribution. Probability…

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Q: Let X   be a random variable with the following probability distribution. Question table Value…

A: 20 0.3 6 400 120 30 0.05 1.5 900 45 40 0.4 16 1600 640 50 0.15 7.5 2500 375 60 0.1 6 3600…

Q: A discrete random variable X has the following probability distribution: 3. 4. P(x) 0.10 0.25 0.40…

A: Let X be the random variable having probability mass function is,  X 1 2 3 4 5 P(x)  0.10 0.25…

Q: Find the mean, variance, and standard deviation for the probability distribution given below:   X -3…

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Q: The number of cars per home in a middle-income community can be represented using a probability…

A: Q

Q: Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

Q: obalility distribution of a random variable X is given. x            10 11 12 13 14 15 p(X=x)…

A: Given that  Probability distribution X 10 11 12 13 14 15 P(X)  18 18 18 28 18 28   We know…

Q: Consider the following probability distribution. P(x) = Ae¯x/x x ≥ 0. a) Determine the value for A…

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Q: Consider the probability distribution shown below. X 0 1 2 3 4 5 P(X=x) 0.069 0.072 0.198 0.281…

A: X P(X) X.P(X) X2 X2.P(X) 0 0.069 0 0 0 1 0.072 0.072 1 0.072 2 0.198 0.396 4 0.792 3 0.281…

Q: a. Find the expected value of each discrete probability distribution. 5. 7. 8. 10 P(x) 0.15 0.32…

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Q: Consider the discrete random variable x given in the table below. Calculate the mean, variance, and…

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Q: Consider the discrete probability distribution, 10 12 18 20 P(x) 0.2 0.1 0.1 i. Calculate P(x > 18)…

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Q: Complete the table below and find the variance and standard deviation of the following probability…

A: As per our guidelines we are suppose to answer only one question 1)Given x P(x) 1 1/7 6 1/7…

Q: Consider the discrete random variable x given in the table below. Calculate the mean, variance, and…

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Q: Given the following probability distribution for the variable x, compute the expected value and…

A: The given probability distribution table is, The Expected value of X is,

Q: Let X be a random variable with the following probability distribution. 012 2 3 4 5 6 7 Pue 0.05…

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Q: Consider a random variable X and the following probability distribution. P(X=12) = 0.0405 P(X = 33)…

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Q: A discrete random variable X is defined by the following probability distribution. Calculate the…

A: Given : X is probability distribution To find : Standard deviation

Q: 12. Given the following discrete probability distribution, P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

A: (a) Obtain the expected value of X. The expected value of X is obtained below as follows : The…

Q: In a convenient store, the number of tellers (X) busy with customers at 12:00 noon varies from day…

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Q: Find the variance of the following discrete probability distribution. Formula:  Write and encircle…

A: We want to find the variance

Q: Calculate the mean, the variance, and the standard deviation of the following discrete probability…

A: Given the discrete probability distribution as follows: x 5 10 15 20 P(x) 0.35…

Q: Let X be a random variable with the following probability distribution. Question table Value   of X…

A: Probability distribution is,   x p(x) 1 0.10 2 0.60 3 0.15 4 0.10 5 0.05

Q: For the following probability distribution: x f(x)   0 0.01   1 0.02   2 0.10   3 0.20…

A:

Q: Let x be a random variable with the following probability distribution -1 1 2 P(x) 0.2 k 0.3 0.25…

A: To find: The expected value and standard deviation of X.

Q: The following table lists the probability distribution of a discrete random variable x: x 0 1 2 3 4…

A: Solution: From the given information, the probability distribution of X is

Q: Given the following discrete probability distribution,   X P (x) 100 0.25 125 0.3 150 0.45…

A: Given: Probability distribution of X: X P(X) 100 0.25 125 0.3 150 0.45 Total 1

Q: Look at the relative-frequency table below of the probability distribution of the discrete random…

A: Given , Relative frequency table of the probability distribution of the discrete random variable X…

Q: Find the variance and standard deviation of each probability distribution below. 2 3 P(X) 0.1 0.45…

A:

Q: Find the expected value E(X) of a random variable X having the following probability distribution.…

A: expected value E(X) =Σxp(x)

Q: Determine the expected value (mean) and the variance of the following probability distribution: 3…

A: Question 13 Given that the table of probability distribution, X12345…

Q: Given the following discrete probability distribution, P(x) 50 0.275 65 0.05 70 0.325 75 0.15 90…

A: Given data x           p(x) 50         0.275 65         0.05 70         0.325         75…

Q: Let x be the number of potential weapons detected by a metal detector at an airport on a given day.…

A: Given : x P(x) 0 0.14 1 0.28 2 0.22 3 0.21 4 0.15

Q: Find the mean and standard deviation for the probability distribution below. Round to two decimal…

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Q: ind the mean and standard deviation for the probability distribution below. Round to two decimal…

A: Calculate the following values. x p(x) x*p(x) x2*p(x) 1 0.214 0.214 0.214 2 0.048 0.096…

Q: A market research team compiled the following discrete probability distribution for families…

A: discrete probability dist

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P(X=x) 0…

A: let X be a random variable with the following probability distribution.   Value  x  of  X…

Q: The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4…

A: mean=expected value=E(X)=∑xP(X)

Q: Find each of the following probabilities for a normal distribution. a. p(-1.80<z<0.20) b.…

A: Normal distribution is given.

Q: Consider the following discrete probability distribution:- X 2 4 6 8 10 P(X = x) 0.3 0.3…

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Q: Below shows a discrete probability distribution:    x 1 2 3 4 5 P(x) 0.2 0.3 m 0.1 0.1…

A: Given data is x 1 2 3 4 5 P(x) 0.2 0.3 m 0.1 0.1

Q: Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 0.15 0.45 Find…

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Q: Find the standard deviation of the random variable X with the given probability distribution. * 1 2…

A: For the given data S.D =?

Q: Let x be a random variable with the following probability distribution X -1 1 P(x) 0.2 k 0.3 0.25…

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Q: A discrete random variable can assume 5 possible values, as listed in the accompanying probability…

A: From the provided information, x -5 0 25 P (x) 0.20 0.30 0.10

Q: each of the following probabilities for a normal distribution. a. p ( -1.80 < z < 0.20)  b. p (…

A: The required probabilities corresponding to the given z values can be found by using the standard…

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.