Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as f

Question

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

shock resistance
scratch resistance high low
high 70 9
low 16 5
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. Input your answers in the fractional form (do not simplify).

P(A)
P(B)
P(A’)
P(A U B)
P(A’ U B)

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Eva 2 weeks 2021-09-14T21:09:16+00:00 1 Answer 0

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    2021-09-14T21:10:32+00:00

    Answer:

    P(A) = 86/100

    P(B) = 79/100

    P(A’) = 14/100

    P(A U B) = 95/100

    P(A’ U B) = 84/100

    Step-by-step explanation:

    i. P(A) = number of disks with high shock resistance/total number of disks

    = (70+16)/100

    = 86/100

    ii. P(B) = number of disks with high scratch resistance/total number of disks

    = (70+9)/100

    = 79/100

    iii. P(A’) = number of disks without high shock resistance/total number of disks

    = (100-86)/100

    = 14/100

    iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks

    = (70+9+16)/100

    = 95/100

    v. P(A’UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks

    = (5+9+70)/100

    = 84/100

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