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(5pt) IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Letx= IQ of

  1. (5pt) IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Letx= IQ of an individual.
    1. X~ _____(_____,_____)
    2. Find the probability that the person has an IQ greater than 120. Include a sketch of the graph, and write a probability statement.
    3. The middle 95% of IQs fall between what two values? Sketch the graph and write the probability statement.
    4. Lily's IQ has a z-score of 2.3so what is her IQ?
    5. Charlie has a 91 IQ. What is the z-score of his IQ?
  2. (5pt) Which is more and how can we tell?Show all your work when finding these and indicate where you use a calculator.
    1. P( x > 3 ) when X~N(3 , 2.5)
    2. P( x> 3 ) when X~U(0,6)
    3. P( x>3 ) when X~B(4, 0.5)

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