Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 11 Oct 2017 My Price 4.00

random inside a square

A point is selected at random inside a square defined by {(x, y): 0 ≤ x ≤ b, 0 ≤ y ≤ b}.

Assume the point is equally likely to fall anywhere in the square. Let the random variable

Z be given by the minimum of the two coordinates of the point where the dart lands.

(a) Find the sample space S and the sample space of Z , S Z .

(b) Show the mapping from S to S Z .

(c) Find the region in the square corresponding to the event {Z ≤ z}.

(d) Find and plot the cdf of Z .

(e) Use the cdf to find: P[Z > 0], P[Z > b], P[Z ≤ b/2], P[Z > b/4].

Answers

Maurice Tutor
(5)
Status NEW Posted 11 Oct 2017 01:10 PM My Price 4.00

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