originally, an urn contained 20 balls : (1) Two balls each having the number 2 o
ID: 3126526 • Letter: O
Question
originally, an urn contained 20 balls:
(1) Two balls each having the number 2 on them (the balls are green)
(2) Four balls each having the number 4 on them (the balls are black
(3) Six balls each having the number 6 on them (the balls are orange)
(4) Eight balls each having the number 8 on them (the balls are blue)
Then, the urn was modified: as follows
*At least one, but not all, of the balls with the number 8 will be changed to balls with the number 6. Let represent this unspecified number of balls with the number 8 that are changed to 6.
*An equal amount of balls with the number 2 and balls with the number 4 will be added to the urn. For example, I might add three 2’s and three 4’s. Let represent this unspecified number of balls of each value that are added to the urn.
From this newly modified urn, a single ball will be drawn.
Let the random variable X = the value of the ball that will be drawn
from the newly modified urn.
Answer the following questions, noting that sometimes your answers will be expressions involving the unspecified constants and :
a)(3pts) Right before the one draw will be made from the modified urn, how many balls will be in the urn? _______________.
Among these balls in the modified urn, there are:
(b)__________ balls with the number __________
(c)__________ balls with the number __________
(c)__________ balls with the number __________
(d)__________ balls with the number __________
Explanation / Answer
Right before the one draw will be made from the modified urn, how many balls will be in the urn?
there are 20 balls in the urn
Among these balls in the modified urn, there are:
(1) Two balls each having the number 2 on them (the balls are green)
(2) Four balls each having the number 4 on them (the balls are black
(3) Six balls each having the number 6 on them (the balls are orange)
(4) Eight balls each having the number 8 on them (the balls are blue)
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