1.The following probability distribution of X is given in the following tableX235678p(x) 1/6 1/6 1/6 1/6 1/6 1/6Calculate E(Y) and SD(Y), where Y = 2X - 3.chap 4 practice q #3

Solution-: We have given the following probability distribution table: X 2 3 5 6 7 8 P(X) 1/6…

Answered: 1. The following probability…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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..BERSAMA DI... 4G 3:18 PM Done Q2 a Sta Mid term.png Q2 (a) The discrete random variable has the probability distribution as in Table Q2. Table Q2: Probability distribution function X 0 1 3 4 5 P(X) 1 h 1 1 1 3 6 9 18 Find (11) Calculate the mean and variance. E(2X + 2) (iv) Var(3x + 1) 1 74% A
7 We. The following tables gives the probability distribution of a discrete random variable x. 1 4 P(x) 0.03 0.14 0.23 0.27 0.19 0.14 Find the following probabilities. a. P(x = 1) = %3D b. P(x 3) = d. P(0 < x < 2) = e. The probability that x assumes a value less than 3: f. The probability that x assumes a value greater than 3: g. The probability that x assumes a value in the interval from 2 to 4 inclusive:
I. Which of the following are discrete probability distributions? (Yes or No) 1. 4 P(x) 0.10 0.20 0.25 0.40 0.05 2. 2. 3 4 5 P(x) 0.05 0.25 0.33 0.28 0,08 3. 3 4 5 P(x) 0.08 0.25 0.34 0.31 0.04 4. 2 3 4 5 P(x) 0.03 0.22 1.01 0.23 0.02 5. 1 2 3 4 P(x) 0,05 0.27 0.34 0,28 0.06 6. 3 4 5 P(x) 3 3 10 10 10 7. 3 4 P(x) 15 15 8. 3 4 5 P(x) 25 25 25 25 9. 3 4 P(x) 7. 1 10 10 20 20 10. 2. 3 4 5 P(x) 0.212 0.113 0,125 0.224 0.306
Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
I. Which of the following are discrete probability distributions? (Yes or No) 1. 3 4 5 P(x) 0.10 0.20 0.25 0.40 0.05 2. 3 4 P(x) 0,05 0.25 0,33 0.28 0,08 3. 4 5 P(x) 0.08 0.25 0.34 0.31 0,04 4. 2 3 4 5 P(x) 0.03 0.22 1.01 0.23 0.02 5. 3 4 5 P(x) 0.05 0.27 0.34 0.28 0.06 6. 2 3 4 5 P(x) 1 3 3 10 10 10 7. 3. 4 P(x) 15 15 8. 2 4 5 6 P(x) 4. 25 25 25 25 9. 3 4 P(x) 1. 3. 20 20 1 10 10 10. 1 3 4 P(x) 0.212 0.113 0.125 0.224 0.306 -
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing
1. The cumulative probability function of a discrete random variable X is given in the following table: 1 2 3 f(x) 1/8 3/8 3/8 1/8 a. Find the distribution function F(x) for the random variable X. b. Graph this distribution function.
The following table provides the joint probability distribution of X and Y y3(0 -1 12 12 1 1 12 12 1 12 12 then P(y<2/x=1)%3D none 1 12 2. -10-16-16 2/30/4

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1. The following probability distribution of X is given in the following table X 2 3 5 6 7 8 p(x) 1/6 1/6 1/6 1/6 1/6 1/6 Calculate E(Y) and SD(Y), where Y = 2X - 3. chap 4 practice q #3