The score of a student on a certain exam is represented by a number between 0...

The score of a student on a certain exam is represented by a number between 0 and 1. Suppose that the student passes the exam if this number is at least 0.55. Suppose we model this experiment by a continuous random variable X, the score, whose probability density function is given by

f(x) = { x if 0 <= x < 0.5

5x - 2 if 0.5 <= x <= 1

0 otherwise }

a. What is the probability that the student fails the exam?

b. What is the score that he will obtain with a 50% chance?

c. Compute the 10th and 90th percentiles

Expert Solution

orchestra answered 2 years ago

Number of absences (x) Final exam score (Y) 0

Number of absences (x) Final exam score (Y) 0 89.4 1 87.2 2 84.5 3 81.7 4 77.3 5 74.8 6 63.7 7 72.1 8 66.4 9 65.8 Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 ...

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