SOLUTION: A game consists of throwing tennis ball into a bucket from a given distance. The probability that Bob will get the tennis ball in the bucket is 0.4 . A turn consists of three attem

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Question 1203301: A game consists of throwing tennis ball into a bucket from a given distance. The probability that Bob will get the tennis ball in the bucket is 0.4 . A turn consists of three attempts. Construct a PDT of X, the number of tennis balls that land in the bucket in a turn.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


This is a good exercise in basic binomial probability. Calculate the probabilities of 0, 1, 2, or 3 balls in the bucket and verify that the sum of the probabilities is 1.

If Y (yes) represents a ball in the bucket and N (no) represents a ball not in the bucket, then the probability distribution for the game is found using



0 balls....



1 ball....



2 balls....



3 balls....



The PDT for the game....
 balls probability
   0    0.216
   1    0.432
   2    0.288
   3    0.064

CHECK: 0.216 + 0.432 + 0.288 + 0.064 = 1.000
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