The mean height of 15 to 20-year-old males from Turkey from 2019 to 2020 was 178 cm with a standard deviation of 5 cm. Male heights are known to follow a normal distribution.  Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height of more than 190, using the STD table. Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height of less than 160, using the STD table. Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height between 173 and 188, using the STD table.  Explain part c, using Empirical Rule. Any 15 to 20-year-old male is considered to be extremely tall if he is in the top 3%. Find what makes a male extremely tall.

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  1. The mean height of 15 to 20-year-old males from Turkey from 2019 to 2020 was 178 cm with a standard deviation of 5 cm. Male heights are known to follow a normal distribution
  1. Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height of more than 190, using the STD table.
  2. Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height of less than 160, using the STD table.
  3. Find the probability that a randomly chosen 15- to 20-year-old male from Turkey has a height between 173 and 188, using the STD table. 
  4. Explain part c, using Empirical Rule.
  5. Any 15 to 20-year-old male is considered to be extremely tall if he is in the top 3%. Find what makes a male extremely tall. 
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