Discrete Probability Distributions/Binomial Distributions Question 27 Blood Donors

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Five percent of people in the United states eligible to donate blood actually do.  You randomly select four eligible blood donors and ask if they donate blood.

  1. Construct a binomial probability distribution to three signigicant figures.
    «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
    {#1} {#2}
    {#3} {#4}
    {#5} {#6}
    {#7} {#8}
    {#9} {#10}


  2. The graph of the distribution is:
    {#11}

  3. Find the mean, variance, and standard deviation of the binomial distribution
    «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#12}
    «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#13}
    «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#14}

  4. What values of the random variable x would you consider unusual?
    {#15}

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