2. Determine if the following are probability distributions (if no, state why). a. X 3 6. 9. 12 15 P(X) 4/9 2/9 1/9 1/9 1/9 b. X P(X) 2 3 4 3/10 1/10 1/10 2/10 3/10 с. Х P(X) 20 30 40 50 1.1 0.2 0.9 0.3 LO

Q: Q. 15 Give classical (Laplacian, mathematical) definition of probability.

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Q: What is the correlation p between X and Y for the joint probability table?

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Q: 1. Solve for the mean, variance and standard deviation of the following probability distributions.…

A: A discrete random variable has a countable number of possible values with respective probabilities.…

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

A:

Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y for x=0,1,2,3; y=0,1,2,…

A: XY 0 1 2 3 Total 0 0 130 230 330 630 1 130 230 330 430 1030 2 230 330 430 530 1430…

Q: The following joint probability table for X and Y. Find the covariance of X and Y. Y 1 2 X 0.15 0.05…

A: The problem is solved using the concept of covariance. please find step by step solution below:

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 "mean" of the given probability distribution. X 0 2 4 6 p(x) .05 .17 .43 .35 3.10 3.75 4.76…

A: The discrete probability distribution is given as : xp(x)00.0520.1740.4360.35

Q: P(z) 0.3 1 0.3 2 0.15 3 0.25 Find the mean of this probability distribution. Round your answer to…

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Q: Conditional probability distribution Y given that X = 0.5 %D y f(x, y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1…

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Q: Consider the following probability distribution 1 3 4 p(x) | 0.25 | 0.5 | 0.125 | 0.125 Find a…

A: The distribution function is defined as F(x) = P(X ≤ x)

Q: X P(x) 0 0.32 1 0.31 2 0.20 3 0.17 a) Find the mean of the probability distribution above. b) Find…

A: Given that  Probability distribution.  X 0 1 2 3 P(x) 0.32 0.31 0.20 0.17

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 following table gives the joint probability distribution of the speed of a car (C) and the…

A: The joint probability distribution of C and A is   C=30 kmph C=55 kmph C=85 kmph A=0 0.30 0.07…

Q: 3. A random variable x has this probability distribution: X 1 2 3 4 5 P(x) .1 .3 .4 .1 ? .05 a. Find…

A: We have given probability mass function of X and we have to find out the probability and mean,SD of…

Q: x 14 15 16 17 18 P(x) 0.1 0.1 0.2 0.1 0.5 Given the discrete probability distribution above,…

A: Given information: x 14 15 16 17 18 P(x) 0.1 0.1 0.2 0.1 0.5

Q: 4.2 The probability distribution of the discrete ran- dom variable X is 3-a f(x) = , r = 0, 1, 2, 3.…

A: Given : , x = 0,1,2,3

Q: 1. Dogs: Let x be the number of dogs per household in a small town. The probability distribution of…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts of any questions so I am…

Q: Suppose that ?x represents the number of cars sold at a dealership in a randomly selected single…

A: The probability distribution of X is x p(x)  4 0.02 5 0.10 6 0.18 7 0.28 8 0.31 9…

Q: Find the mean and standard deviation of the distribution. (Round your answers to 2 decimal places if…

A: The mean of the distribution can be calculated as: μ=∑x·p(x) Substitute the given values,…

Q: Find the value of K that would complete the following probability distribution. 0 1 2 3 P(X) K 1/8…

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Q: 10) Joint probability distribution of X and Y are given. Give E(Y). XIY 0 2 Pi -1 0.2 0.3 ? 2 0.4…

A: Given, XY  0  2 pi -1 0.2 0.3 0.5 2 0.4 0.1 0.5 qj 0.6 0.4 1.0

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

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: 1. Р(3) 2. Р(1) + P(4) 3. Р(х > 2)

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Q: Find P(Y 3|X = 2)

A: P(Y=3| X=2)=P(Y=3,X=2)P(X=2)--- (1) Now, using the given distribution we get…

Q: Consider the following probability distribution. 1 2 3 7. P(x) 0.05 0.16 0.19 0.24 О.18 0.11 0.05…

A: According to the given information, we have The probability distribution table is given.

Q: Consider the following probability distribution: X 0 1 2 3 P(X)  a 0.1 0.2  b If E(X) = 0.8   Then…

A: Given : X 0 1 2 3 P(X) a 0.1 0.2 b EX = 0.8 We know that, EX = ∑X×PX EX = 0×a +1×0.1 +2×0.2…

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

A:

Q: determine if the following is a probability distribution. justify your answer     x  P(x)    0…

A: x  P(x)    0   0.04    1   0.33    3   0.42    4   0.19    5   0.02

Q: Consider the following probability distribution. 3. 4. 6 7 P(x) 0.05 0.16 0.19 0.24 0.18 0.11 0.05…

A: Given, x 0 1 2 3 4 5 6 7 P(x) 0.05 0.16 0.19 0.24 0.18 0.11 0.05 0.02

Q: Determine whether the following is a probability distribution.  If not, identify the requirement…

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Q: 2. Below is a probability distribution for the number of students with high honors. 4. 1. 0.35 P(x)…

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Q: 3. Find the mean of the probability distribution. 1 2 3 4 P(x) 0.3 0.4 0.2 0.06 0.04 а. 1.54 b. 1.30…

A: Given : x = 0,1,2,3,4 y = 0.3,0.4,0.2,0.06,0.04

Q: 1. A random variable x has the probability distribution as follows: 2 4 P(x) 1/15 k/15 k/5 4/15 k/15…

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Q: Suppose Xhas the probability distribution given in the table. Given that EXX)-2.8, find a and b 2 1…

A: The question is about discrete prob. distribution Given : E ( X ) = 2.8   To find : Value of a and…

Q: a. Given  x  P(x) 1 3 4 5 0.15 0.24 0.3 0.31 Find     (i)   Mean              (ii)…

A: a. Given: X 1 3 4 5 P(X) 0.15 0.24 0.3 0.31 i) We need to find the mean  Formula for mean is…

Q: I. Which of the following are discrete probability distributions? (Yes or No) 1. 3 4 5 P(x) 0.10…

A: Property:  If ∑P(X=x)=1 then it is discrete probability distribution  0≤P(X=x)≤1

Q: Given a probability distribution 0 1 2 3 P(x) 2k 0.15 0.2 0.05 Find the value of k. • 1 • 0.3 • 0.6…

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Q: Find the "mean" of the given probability distribution. 2 4 6 0 p(x).05.17 .43 .35 X 3.10 3.75

A: XP(X)X*p(X)00.050.0020.170.3440.431.7260.352.10Total1.004.16