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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 give your answer as a decimal number with five decimal digits.

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