Please help me!?

Question

Event Probability
Too much enamel 0.24
Too little enamel 0.15
Uneven application0.3
No defects noted 0.54

A) What is the probability of a paint defect which results from an improper amount of paint and uneven application?

B)What is the probability of a paint defect which results from the proper amount of paint, but uneven application?

Could you please explain it

Answer 1

First note that:
a) You cannot have both too much enamel and too little enamel.
b) It is possible to have too much or too little enamel or the correct amount of enamel and have an uneven application.

A Venn diagram helps here. 24% is covered by "too Much", 15% by "too Little" - That leaves 61% with the correct amount of enamel. But we know that only 54% has no defects. So, 7% of the "right amount of enamel" must be "uneven" and the remaining 23% of the "uneven" must be in the "too much" or "too little" regions.

A) 0.23 or 23%
B) 0.07 or 7%

Answer 2

There are two defects involving improper amount of paint: too much (.24) and too little (.15) The overall probabilitly is the P(too little) + P(too much) + P(uneven) = .25+.15+.3

P(proper amount) = 1 - [P(too much)+P(too little)] = .61; Proper amont AND uneven is .61*P(uneven) = .183

Answer 3

a> .7/1.23
b>.3/1.23

Answer 4

nope