It has been estimated that only about 32% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 35 residents in the County. Let X be the number of residents who have adequate earthquake supplies. What is the distribution of X? X ~      (,) Please show the following answers to 4 decimal places. What is the probability that at least 14 residents who have adequate earthquake supplies in this survey? What is the probability that between 12 and 17 (including 12 and 17) residents who have adequate earthquake supplies in this survey?

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It has been estimated that only about 32% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 35 residents in the County. Let X be the number of residents who have adequate earthquake supplies.

    1. What is the distribution of X? X ~      (,)

Please show the following answers to 4 decimal places.

  1. What is the probability that at least 14 residents who have adequate earthquake supplies in this survey?
  2. What is the probability that between 12 and 17 (including 12 and 17) residents who have adequate earthquake supplies in this survey?
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