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Based on the number of voids, a ferrite slab is classified as either high medium or...

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, 80% as a medium, and 15% 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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