Q.1 A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the number of drums ordered by a randomly chosen customer. Assume X has the following probability mass function: 1 2 3 4 5 P(X = x) 0.1 0.2 K 0.2 0.2 (i) Find the value of constant K that it is a probability mass function. (ii) Find the cumulative distribution function of the number of drums. (iii) Using cumulative distribution function find P(2 < X < 5).

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A: The objective of the question is to find the conditional probability mass function of p_Y|X(y|0).…

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A: The  joint probability mass function of random variables (X,Y) is given as:xy111.521.532.5435

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A: The probability mass function for the X can be defined as:

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A: From the given information, P(D)=0.168, P(T)=0.394 and P(D∩T)=0.076.

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A: We need to find if the given are valid probability density functions.

Q: Example 2: Consider the following function shown below. Use it to answer the following questions.…

A: Solution

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

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: ANSWER IS GIVEN BELOWExplanation:

Q: X P(X=x) 1 1/12 2 k 3 1/4 4 1/2

A:

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

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Q: Q1. For the following probability mass function, compute the Table 1: Probability mass function 150…

A: The provided information is as follows:The probability mass function is given as…

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Q: Which of the following tables shows a valid probability density function? Select all correct…

A: Which of the following tables shows a valid probability density function?  a valid probability…

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A:

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Q: 9. Consider the formula: P(x) = x/21, x 0, 1, 2, 4. Is P(x) a probability mass function? If so, show…

A: 9. The given formula is Px=x221,x=0,1,2,4.