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The following function is a legitimate density function: f(x)=2*(3x + 4)/33 for -1 < x <...

The following function is a legitimate density function: f(x)=2*(3x + 4)/33 for -1 < x < 2 and 0 else. Please include at least 3 decimal places for all parts in this question.

a) Find P(1 ≤ x < 4).

b) What is the expected value?

c) Determine the cdf.

d) Find the 50 th percentile.

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