Suppose that a density function is given by the formula f(x) = Find the probability that x is between 1 and 6. I 38 15 X I if 0 ≤ x ≤ 4 -x if 4 ≤ x ≤ 19 otherwise. 285
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- Show that each function defined as follows is a probability density function on the given interval; then find the indicated probabilities. f(x)=(1/2)ex/2;[0,) a. P(0X1) b. P(1X3) c. P(X2)Show that each function defined as follows is a probability density function on the given interval; then the indicated probabilities. f(x)=12(1+x)3/2;[0,) a. P(0X2) b. P(1X3) c. P(X5)