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

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A baseball hitter hits a home run about once every 10 times atbat. We are interested in the number of hits before thefirst 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 thefirst home run?
  2. Suppose we are interested in the number of hits beforethe third home run. Give the distribution of X includingparameters, if any. i.e., X ~ ________()
    1. ???????Show the following two using R:
  3. What is the probability that the he has 4 hits beforethe first home run?
  4. What is the probability that he has 7 hits before thethird home run?

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