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A baseball hitter hits a home run about once every 10 times at bat. We are...

A baseball hitter hits a home run about once every 10 times at bat. We are interested in the number of hits before the first home run happens.

  1. Give the distribution of X including parameters, if any. i.e., X ~ ________()
  1. How many times does he bat on the average before the first home run?
  2. Suppose we are interested in the number of hits before the third home run. Give the distribution of X including parameters, if any. i.e., X ~ ________()
    1. ​​​​​​​Show the following two using R:
  3. What is the probability that the he has 4 hits before the first home run?
  4. What is the probability that he has 7 hits before the third home run?

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