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    Category :Math/Stat Homework

    Posted By:AccountingExpert

    Price Offered : $10

    Posting Date : 2014/06/20 01:10

    Due Date : 2014/06/28 09:00

    Answered (1 time)



     

    1.       Find , ,  if a random variable  is given by itsdensity  function, such that                                                                                                    

    , if

    , if

    , if

     

    2.      Let  be given by itsdistributionfunction  F(x), such that

    F(x) = 0 if x ≤ 0                                                                                             

    F(x) = if 0<x≤2

    F(x) =1 if x>2

     

    a)     Graph the distributionfunction

    b)     Graph the densityfunction

    c)      Find ,,

     

    3.      A random variable  is distributed normally with E(X) = 8 and σ(X) =3.FindP(9≤X<11).                                                                                                          

     

    4.      The distribution of the width of a standard piece of computer paper is normal with an expectation of 8.5 inchesand the standard deviation of 0.2 inch.                                                                                                                                                                          

    a)     Find the probability that thewidth of any given piece of computer paper is between 8.40and 8.55.

    b)    Find the probability that the width of any given piece of computer paper is less than 8.35.

    c)     Find the probability that the width of any given piece of computer paper is greater than 8.6.

     

     

    5.      The density function of a random variable  is given by

     

     

    Find its (a) math expectation, (b) variance and (c) distribution function.

     

     

     

    6.      Find the density function of a normally distributed random variable, if E(X) = 7.8 and σ(X) = 4.1                                                                                    

     

     

    7.       It’s known that a random variable  is distributed normally with   E(X) = 3 and it’s also known  that p(0≤X≤1)+p(5≤X≤6) = 0.6.  Find p(p(5≤X≤6). 

     

     

    8.     Describe a real-life situation to which the normal distribution could be applied. Explain why.  How does a normal distribution differ from one, which is not? Which aspects of your situation might be altered?                             

     

    Answer
    Submitted by AccountingExpert on 2014/06/20 01:12
    teacher rated 211 times

    Price: $10.00

     

    A++ answer for problem set math




    ---- file 1.docx preview (444 words)---

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