# Question: The Wechsler Intelligence Scale for Children is approximately normally distributed

The Wechsler Intelligence Scale for Children is approximately normally distributed, with mean 100 and standard deviation 15.

(a) What is the probability that a randomly selected test taker will score above 125?

(b) What is the probability that a randomly selected test taker will score below 90?

(c) What proportion of test takers will score between 110 and 140?

(d) If a child is randomly selected, what is the probability that she scores above 150?

(e) What intelligence score will place a child in the 98th percentile?

(f ) If normal intelligence is deﬁned as scoring in the middle 95% of all test takers, ﬁgure out the scores that differentiate normal intelligence from abnormal intelligence.

(a) What is the probability that a randomly selected test taker will score above 125?

(b) What is the probability that a randomly selected test taker will score below 90?

(c) What proportion of test takers will score between 110 and 140?

(d) If a child is randomly selected, what is the probability that she scores above 150?

(e) What intelligence score will place a child in the 98th percentile?

(f ) If normal intelligence is deﬁned as scoring in the middle 95% of all test takers, ﬁgure out the scores that differentiate normal intelligence from abnormal intelligence.

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