Provide an appropriate response.List the two requirements for a probability distribution. Discuss the relationship between the sum of the probabilities in a probability distribution and the total area represented by the bars in a probability histogram.

What will be an ideal response?


The sum of the probabilities in a probability distribution must be 1 and each individual probability must be between 0 and 1, inclusive. The total area of the bars in a probability histogram is 1.

Mathematics

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Determine whether the nonincreasing sequence converges or diverges.an = 

A. Diverges B. Converges

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Express the solution set of the inequality in interval notation.x ? 7

A. (-?, 7] B. (-?, 7) C. [7, ?) D. (7, ?)

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Simplify the expression. ? ? Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined. ?

A.
B. ?
C. ?
D. ?

Mathematics

Find u ? v, where ? is the angle between the vectors u and v. Round the answer to the nearest tenth. =2,  = 3, ? = 166°

A. -5.2 B. -5.8 C. -4.9 D. -6.2

Mathematics