The following table provides a probability distribution for the random variable y. y f(y) 2 0.30 4 0.10 7 0.20 8 0.40 (a) Compute  E(y). E(y) =  (b) Compute  Var(y)  and σ. (Round your answer for σ to two decimal places.) Var(y) =σ=

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Given: x 2 3 4 5 6 7 f(x) 0.25 0.15 0.10 0.15 0.10 0.25

Q: P(x, y) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4 0.040 0.060…

A:

Q: Question 3. Suppose that the random variable X is defined as X = 0.6X1 + 0.3X2 +0.1X3, where the…

A: Given: Where all three are independent x = 0, 1, 2, 3, 4, 5

Q: tributIO Show that the column and row totals of Table 1 give the marginal of X alone and of Y alone.

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Q: Table 1 contains the probabilities associated with each possible pair of values for Y,and Y2 and is…

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Q: X 1 2 Y O 0.70 0.00 1 0.00 0.30 a) Compute and interpret the covariance and correlation between the…

A:

Q: Question 2: a. The probability distribution of a discrete random variable X is given below: 1 P(X…

A:

Q: a. Compute E(y) (to 1 decimal). X 5.5 b. Compute Var(y) and a (to 2 decimals] Var(y) 4.05 2.01 X

A: The random variable X with probability distribution is given y  :     2 ,      4 ,     7 ,       8…

Q: 3. X · P(X) (X – 4)? (х — и)2 . Р(X) X P(X) 1 0.11 0.40 7 0.30 10 0.19

A: According our policy we can answer only first question for remaining please repost the question.

Q: 1)- The marketing director for a small manufacturer of personal computers (PCs) believes that the…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A:

Q: Given the following:   Probability function pb(s) a biased die:   pb(s) = {(1, 3/10), (2, 1/10)…

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Q: te random variable. Let E(X)=10 and Var(X)=5. Since Y = x2 + 3X, What is E(Y)=?

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Q: Question 2: A discrete random variable X has a probability distribution function given by P(X = x) =…

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Q: Question 2 The number of cars per home in a middle-income community can be represented using a…

A:

Q: a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

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Q: The probability distribution function of the random variable Y is, y P(y) 0 0.287 1 0.456 2 0.001 3…

A: Given,

Q: QUESTION 2 Determine the value c so that each of the following the given function can serve as a…

A: Given that  Probability mass function of X f(x)=c(x2+4)  , x=0,1,2,3

Q: The amount of coffee dispensed by a certain machine into a cup is a continuous random variable x…

A: Let X be the amount of coffee dispensed by a certain machine into a cup.Given, X follows uniform…

Q: Consider the following joint probabilities table for X and Y, where z = 0, 10 and y = 90, 100, 110.…

A: The given table is:

Q: Subject: Your Month к хчу pcxing) other Find the marginal probability of Y P (Y) Date: X=1,2 153…

A: XY 1 2 Total 1 k 4 k 5 k 2 2 k 8 k 10 k 3 3 k 12 k 15 k Total 6 k 24 k 30 k we know…

Q: d) Are X and Y independent? e) Find E(X) and E(Y), Var(X) and Var(Y). f) Find the correlation…

A: The joint probability distribution is given as follows: 12310.10.10.1520.050.050.230.150.10.1

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

A:

Q: The accompanying table describes results from groups of 10 births from 10 different sets of parents.…

A: Formula used: The maximum value in this range = μ+2σ μ = E(X) = ∑X·P(X) E(X2) = ∑X2·P(X) σ =…

Q: The table gives the joint probability distribution of the number of sports an individual plays (X)…

A: The given joint probability distribution is given as…

Q: 3. The following table shows the probability distribution of a random variable X. X 2 5 8. 10 3 5 7…

A: We want to find  A) E(X) and Var(X) B) E(8X+3) and Var(8X+3)

Q: The random variable X has probability distribution as shown below: 0 1 2 p(X = x) 0.16 0.48 0.36 The…

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Q: 1. Determine the covariance and correlation for the following joint probability distribution:…

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Q: 3. The discrete random variable Y has the following probability distribution: Y 25 26 27 28 29 P(Y)…

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Q: 3. Let X and Y be two Binary random variables with joint probability distribution: x = 0 x = 1 0.2…

A: The joint probability density function is given as- fx,y x=0 x=1 y=0 0.2 0.4 y=1 0.1 0.3

Q: The following table provides a probability distribution for the random variable .   y f(y) 2…

A: a. The mean of the random variable Y obtained as given below:

Q: The probability distribution of a discrete random variable X is given in Table Q3. Table Q3 1 x 2…

A:

Q: 10. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are…

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Q: The variance of a discrete probability distribution can be calculated using the formula: H=Ex.p(x)…

A: We know that  E(x)= ∑X.p(x)E(x2 ) = ∑X2.p(x)Variance =?2 = E(x2 ) - [E(x)]2 Where μ= E(x)

Q: If a discrete random variable X takes only three values 3, 5, and 8 and that P(X-3)%30.3,…

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Q: 3. The following table shows the probability distribution of a random variable X. BREED 8. 10 3 7 1…

A: E(X)=∑xP(x)

Q: A probability function for a discrete random variable, Y, is shown below.     y P(Y=y) 4 0.4…

A: Y 4 6 8 10 P(Y=y) 0.4 0.2 0.2 0.2

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A:

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.