Question: Let E1, E2, and E3 denote the samples that conform to a percentage of solids specification, a molecular weight specification, and a color specification, respectively.

Let E1, E2, and E3 denote the samples that conform to a percentage of solids specification, a molecular weight specification, and a color specification, respectively. A total of 240 samples are classified by the E1, E2, and E3 specifications, where yes indicates that the sample conforms.E3 yes E yes no Total E yes 200 1 201 no

(a) Are E1, E2, and E3 mutually exclusive events?

(b) Are E1, E2, and E3 mutually exclusive events?

(c) What is P(E1 or E2 or E3)?

(d) What is the probability that a sample conforms to all three specifications?

(e) What is the probability that a sample conforms to the E1 or E3 specification?

(f) What is the probability that a sample conforms to the E1 or E2 or E3 specification?

E3 yes E yes no Total E yes 200 1 201 no 5 4 9 Total 205 5 210 E3 no E2 yes no EL yes 20 4 24 no 6 0 6 6 Total 26 4 30

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