Answer to Question #299844 in Statistics and Probability for Jaz romero

Question #299844

A box contains 4 yellow (Y) and 8 Pink balls. Six balls will be selected in the box.






Determine the values of random variable P representing the number of pink balls.

1
Expert's answer
2022-02-22T13:24:35-0500

There  are 4 yellow (Y) and 8 Pink (P) balls. Total number of balls is 4+8=12 balls. 6 balls are selected at random.

Let PP denote the number of pink balls selected then PP is a discrete random variable which may take on the values, 0,1,2,3,4,5,6 as described below.

The following a few possible sample points are described below to show the number of pink balls selected.

  1. YYYYYY-  In this sample point the number of pink balls is P=0P=0
  2. YYYYYP- In this sample point, the number of pink balls is P=1P=1
  3. YYYYPP- In this sample point, the number of pink balls is P=2P=2
  4. YYYPPP- In this sample point, the  number of pink balls is P=3P=3
  5. YYPPPP- In this sample point, the number of pink balls is P=4P=4
  6. YPPPPP- In this sample point, the number of pink balls is P=5P=5
  7. PPPPPP- Here, the number of pink balls selected is P=6P=6

Therefore, p={0,1,2,3,4,5,6}p=\{0,1,2,3,4,5,6\}


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