need help with stat problem Suppose that you are presented with three ums Each u

Question

need help with stat problem

Suppose that you are presented with three ums Each urn contanis five indistinguishable balls except the one is green and four are red. You get to draw once from each urn What is the probabiltty that get an odd number of green balls? What type of random varible is involed in this problem? show the work used to obtian the answer to this problem below (You Must show the work to get credit for the problem Just putting a numeric answer on the line is not sufficient Put your probability answer on this line

Explanation / Answer

a)

As the probability of success is constant (p = 1/5 = 0.2), the number of trials constant (3), and the trials are independent and just has 2 different results, it is a

BINOMIAL RANDOM VARIABLE. [ANSWER]

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b)

It is then asking the probability of 1 or 3 green balls.

FOR 1 GREEN:

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    3      
p = the probability of a success =    0.2      
x = the number of successes =    1      
          
Thus, the probability is          
          
P (    1   ) =    0.384

FOR 3 GREEN:

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    3      
p = the probability of a success =    0.2      
x = the number of successes =    3      
          
Thus, the probability is          
          
P (    3   ) =    0.008

Hence,

P(1 or 3 green) = 0.384 + 0.008 = 0.392 [ANSWER]

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