Empirical knowledge asserts that the IQ score X of people is normally distributed with mean defined to be H=100 and standard deviation o= 15. (a) Which of the following random variables, follow the standard normal distribution (0, 1)? X-15 (i) 100 X+15 (ii) X- 100 (iii) 100 15 X-100 (iv) X+100 (v) X+ 100 (vi) 225 225 15 Answer: (No answer given) (b) Find the probability a randomly selected person to have IQ: (i) At most 118. (ii) More than 97. (ü) More than 109.

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