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 04 Apr 2018 My Price 7.00

probability of hitting

Imagine throwing darts at a circular dart board, B. Let us measure the dart board in units for which the radius of B is 1, so that the area of B is π. Suppose that the darts are thrown in such a way that they are certain to hit a point in B, and that each point in B is equally likely to be hit. Thus, if A ⊂ B, then the probability of hitting a point in A is likely to be hit. Thus, if A ⊂ B, then the probability of hitting a point in A is

 

Define the random variable X to be the distance from the center of B to the point that is hit.

(a) What are the possible values of X?

(b) Compute P(X ≤ 0.5).

(c) Compute P(0.5

(d) Determine and graph the cumulative distribution function of X.

(e) [Optional—for those who know a little calculus.] Determine and graph the probability density function of X.

 

Answers

Maurice Tutor
(5)
Status NEW Posted 04 Apr 2018 08:04 PM My Price 7.00

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