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The number of cans of soft drinks sold in a machine each week is recorded below from left to right, with oldest data to the left of the table.... see attached

Probability

Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85. Find the probability of the following: a.Mary will pass economics. b. Mary will pass both ...continues

Examine your public company of choice, Hewlett-Packard (HP), for investment . Then present a brief and powerful financial case for investment. Use all of your powers of persuasion, marketing, or advertising in your pitch.

Examine your public company of choice for investment from the previous exercise. Then present a brief and powerful financial case for investment in your company to the others in the class. Use all of your powers of persuasion, marketing, or advertising in your pitch.

Metric Spaces

(See attached file for full problem description) 1. Show that the functions d defined below satisfy the properties of a metric. a. Let X be any nonempty set and let d be defined by The d is the call the discrete metric. b. If X is the set of all m-tuples of real numbers and, if for and , then (X,d) is a metric spac ...continues

Real Analysis Metric Spaces

Let w, x, y, z be four points in a metric space. Establish the quadrilateral inequality (see attached).

Real Analysis Metric Spaces

(See attached file for full problem description) Let X be the set of all bounded sequences of real numbers. If and are elements of X, show that the function d defined by is a metric on X.

Real analysis metric spaces

(See attached file for full problem description) Let A be any set and let X be the set of all bounded real-valued functions defined on A. Show that defines a metric on X.

Real analysis metric spaces

(See attached file for full problem description) 7. If d is a real-valued function on which for all x, y, and z in X satistifes d(x,y) = 0 if and only if x=y d(x,y)+d(x,z)≥d(y,z) show that d is a metric on X.

Real analysis give example of a matrix space

(See attached file for full problem description) Give an example of sets A and B in a metric space such that but d(A,B)=0.

Real analysis - open and closed sets

(See attached file for full problem description) 1. In the metric space show that: a. Any open interval of the form (a,b), (a, ), or (- ,b) is an open set. b. A close interval [a,b] is a closed set. c. Any interval of the form [a, ) is a closed set.