message per day wont a averages of 50 text 4. (10pt) A company\'s quality contro

Question

message per day wont a averages of 50 text 4. (10pt) A company's quality control team inspects 350 light bulbs manufactured at two different sites to determine how many have good illumination, moderate illumination or no illumination. The results of these finding are reported in the table below Good Moderate 20 No illumination Site A 165 Site B14512 (a) Are the categories moderate illuminations and good illumination mutually exclusive? Wh why not? (b) Find the following probabilities: i) A bulb has no illumination. ii) A bulb has moderate illumination given it was manufactured at site A iii) A bulb has good illumination or was manufactured at site B please turn page over

Explanation / Answer

from above:

a)

as moderate and good iillumination categories have no element in common therefore they are mutually exclusive

b)

i)

P(no illumination)=8/350=0.0229

ii)

P(moderate illumination|Site A)=P( moderate illumination and site A)/P(site A)=20/190=0.1053

iii)

P(good illumination or manufactured at site B)=P(good illumination)+P(Site B)-P(good illumination and site B)

=(310/350)+(160/350)-(145/350)=0.9286

good moderate no illumination total site A 165 20 5 190 site B 145 12 3 160 total 310 32 8 350

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