A box in a certain supply room contains seven 40-W lightbulbs, six 60-W bulbs, and five 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? X (b) What is the probability that all three of the selected bulbs have the same rating? x (c) What is the probability that one bulb of each type is selected? X (d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs? Enter a number. Need Help? Read It

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A box in a certain supply room contains seven 40-W lightbulbs, six 60-W bulbs, and five 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to
four decimal places.)
(a) What is the probability that exactly two of the selected bulbs are rated 75-W?
X
(b) What is the probability that all three of the selected bulbs have the same rating?
x
(c) What is the probability that one bulb of each type is selected?
X
(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs?
Enter a number.
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Transcribed Image Text:A box in a certain supply room contains seven 40-W lightbulbs, six 60-W bulbs, and five 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? X (b) What is the probability that all three of the selected bulbs have the same rating? x (c) What is the probability that one bulb of each type is selected? X (d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs? Enter a number. Need Help? Read It
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Follow-up Question
A box in a certain supply room contains seven 40-W lightbulbs, six 60-W bulbs, and five 75-W bulbs. Suppose that three
bulbs are randomly selected. (Round your answers to four decimal places.)
(a) What is the probability that exactly two of the selected bulbs are rated 75-W?
0.4038
(b) What is the probability that all three of the selected bulbs have the same rating?
0.1099
x
(c) What is the probability that one bulb of each type is selected?
0.2308
x
(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that
is necessary to examine at least six bulbs?
0.0105
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Transcribed Image Text:A box in a certain supply room contains seven 40-W lightbulbs, six 60-W bulbs, and five 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? 0.4038 (b) What is the probability that all three of the selected bulbs have the same rating? 0.1099 x (c) What is the probability that one bulb of each type is selected? 0.2308 x (d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that is necessary to examine at least six bulbs? 0.0105 Need Help? Read It
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