Based on the number of voids, a ferrite slab is classified as
either high medium or low. Historically, 5% of the slabs are
classified as high, 83% as medium and 12% as low. A sample of 20
slabs is selected for testing. Let X, Y, and
Z denote the number of slabs that are independently
classified as high, medium, and low, respectively. Determine the
following. Round your answers to four decimal places (e.g.
98.7654).
(a) P(X = 1, Y = 17, Z =
3)
(b) P(X ≤ 1, Y = 17, Z =
3)
(c) P(X ≤ 1)
(d) E(X)
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