continuous. Let y represent the score on the College Entrance Examination. Find (a) the probability of a score less than 650, that is, Pr (y ≤ 650); (b) the probability of a score between 550 and 650, that is, Pr (550 ≤ y ≤ 650); (c) the probability of a score between 400 and 550, that is, Pr (400 ≤ y ≤ 550);
The College Entrance Examination scores are approximately
of 500 and a standard deviation of 100 for a particular subgroup of examinees (those who are
high school students taking a college preparatory course). For purposes of this exercise, we shall
treat this distribution as if it were continuous. Let y represent the score on the College Entrance
Examination. Find
(a) the
(b) the probability of a score between 550 and 650, that is, Pr (550 ≤ y ≤ 650);
(c) the probability of a score between 400 and 550, that is, Pr (400 ≤ y ≤ 550);
(d) the probability of a score less than 304 or greater than 696, that is,
Pr (y ≤ 304)+ Pr (y ≥ 696);
(e) the probability of a score greater than 665, that is, Pr(y ≥ 665);
(f) the score such that the probability of exceeding it is .0668, that is, the value yo of y
such that Pr(y ≥ yo) = 0.0668.
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