Suppose that a die is rolled twice. Let X be the minimum value to appear in the two rolls. (a) Construct the table of the probability mass function of X. Demonstrate how you obtained the probability values for each value of X. (b) Obtain the distribution function of X. (c) Write out the moment generating function. Hence, compute the mean. (d) Justify your answer in (c) using the basic definition of the mean. (e) Using the second factorial moment of X, compute the variance.

Q: Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is…

A: It is given that x denotes the sum of two rolled dies.

Q: The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors…

A:

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Q: e P(X=x) va

A: Given a table Value x of X P(X=x) -5 0.21 -1 0.13 1 0.12 2 ? 5 ?

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A:

Q: 1. A die is thrown twice. Let X₁ and X₂ denote the outcomes of first and second dices respec-…

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A: A B C D Total order accurate  320 262 234 145 961 order not accurate 32 54 36 14 136…

Q: please solve explain both part a and b for my understanding

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Q: For the probability distribution, find d. P(y = 6) e. f(y = 4) f. f(y= 6) g. F(y = 5.5) h. F(4) f.…

A: Since total probability is always 1:P(Y=−2)+P(Y=−1)+P(Y=0)+P(Y=1)+P(Y=2)=1

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Q: Suppose the probability distribution for X = number of jobs held during the past year for students…

A: Given data: x Probability 0 0.15 1 0.37 2 0.27 3 0.14 4 0.07

Q: Suppose that a pair of fair dice are to be tossed, and let the random variableX denote the sum of…

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Q: Let X=c with probability 1. Plot the PDF (probability distribution function) of X.    Please show…

A: Graph might be similar to discrete uniform probability distribution.

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