Students_Tutorial answers Tutorial_5

Since probability cannot be negative increasing from

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(since probability cannot be negative) increasing from the point (y,F(y))=(0,0) to (y,F(y))=(2,1). Specifically, F(y)=0.5y in the range (0,2). If y<0, F(y)=0 and if y>2, F(y)=1. (c) Find the following: P ( Y <0.8); P ( Y ≤0.8); P (0.5< Y <1.5) from both the density function and the cumulative probability function and show that your answers match whichever you use. 0 0.1 0.2 0.3 0.4 0.5 0.6 0 0.5 1 1.5 2 f(y) y Uniform density for random number generation
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