4. X is a continuous R.V. with pdf given by fx(x) = a. Find and sketch the CDF of X b. Find the P(X| ≤0.5) c. Find the P (X≥0/X ≤0.5) (1+x, x, 0, -1 < x < 0 0

Q: 3. Determine if the given function is continuous on the given point and intervals. 2 x< 3 f(x) = 2x…

A: f(x)=22x+6,x≤3-2x2-3x+2,3&lt;x&lt;610,x≥6

Q: A hospital pilots a new postoperative procedure for their patients. Hospital administration would…

A: Given information: Significance level α=0.1 The given observed results are in the following table:…

Q: a delta - epsilon proof that shows that the function f(x) = |x| is continuous on its do

A: Definition:

Q: アー)。 The xy-plane above shows the graph of a continuous function f that is defined on interval [-2,…

A: We use the graph of f(x) and the definition of the function g(x) to answer the given question.

Q: 6. Prove that f(x)=√x is continuous for all x ≥ 0.

A:

Q: 4.

A: Check that f(x) is continuous &amp; differentiable on the interval. Find the values of c The main…