5.2.4 WP A manufacturer of electroluminescent lamps knows that the amount of luminescent ink deposited on one of its prod- ucts is normally distributed with a mean of 1.2 grams and a stan- dard deviation of 0.03 gram. Any lamp with less than 1.14 grams of luminescent ink fails to meet customers' specifications. A ran- dom sample of 25 lamps is collected and the mass of luminescent ink on each is measured. a. What is the probability that at least one lamp fails to meet specifications? b. What is the probability that five or fewer lamps fail to meet specifications? c. What is the probability that all lamps conform to specifications?

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5.2.4 WP A manufacturer of electroluminescent lamps knows
that the amount of luminescent ink deposited on one of its prod-
ucts is normally distributed with a mean of 1.2 grams and a stan-
dard deviation of 0.03 gram. Any lamp with less than 1.14 grams
of luminescent ink fails to meet customers' specifications. A ran-
dom sample of 25 lamps is collected and the mass of luminescent
ink on each is measured.
a. What is the probability that at least one lamp fails to meet
specifications?
b. What is the probability that five or fewer lamps fail to
meet specifications?
c. What is the probability that all lamps conform to
specifications?
d. Why is the joint probability distribution of the 25 lamps
not needed to answer the previous questions?
Transcribed Image Text:5.2.4 WP A manufacturer of electroluminescent lamps knows that the amount of luminescent ink deposited on one of its prod- ucts is normally distributed with a mean of 1.2 grams and a stan- dard deviation of 0.03 gram. Any lamp with less than 1.14 grams of luminescent ink fails to meet customers' specifications. A ran- dom sample of 25 lamps is collected and the mass of luminescent ink on each is measured. a. What is the probability that at least one lamp fails to meet specifications? b. What is the probability that five or fewer lamps fail to meet specifications? c. What is the probability that all lamps conform to specifications? d. Why is the joint probability distribution of the 25 lamps not needed to answer the previous questions?
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