Solve the problem.Suppose a continuous random variable has a joint probability density function given by     Find 

A. 0.75
B. 0.50
C. 0.25
D. 1


Answer: D

Mathematics

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Solve the logarithmic equation.ln x - ln (x - 7) = ln 9

A.
B. 2
C. No solution
D.

Mathematics

Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = (x + 3)(x - 2)2

What will be an ideal response?

Mathematics

?For the circle graph, which of the following is true, given a total monthly budget of $1842?

A. ?Given that the budget stays the same, if the percent of Entertainment increases, the percent of all of the other categories must decrease. B. ?If the percent of Rent/Utilities increases, the amount of allocation for Food must decrease. C. ?If the amount spent on Food, Misc., and Entertainment increases by a total of 10%, but the rent/utilities does not change, the total budget must increase by $82. D. ?If the amount spent on Food, Misc., and Entertainment increases by a total of 10%, but the rent/utilities does not change, the total budget must increase by $90. E. ?The allocation for Rent/Utilities is approximately three times larger than the allocation for Misc.

Mathematics

A PDF for a continuous random variable X is given. Use the PDF to find E(X).f(x) = 

A.
B.
C.
D. 1

Mathematics