25. On Tuesday morning, Professor Umbuggio randomly picks a microphone, and it fails. What is the prob- ability that the Telefunken was chosen? (Use the probabilities given in the preceding problem.) (a) 3/7 (b) 4/7 (c) 6/13 (d) 7/13 (e) 1/2 (f) none of the above

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Please explain your reasoning for number 25!

24. Umbuggio has two microphones which he uses to
teach in RH100; one is Sony and one is Telefunken.
The Sony fails with probability .3, while the Tele-
funken fails with probability 4. On Monday morn-
ing, Umbuggio picks a microphone at random. What
is the probability that it will fail?
(a) .7
(b) .35
(c) .12
(d) .58
(е) .42
(f) none of the above
25. On Tuesday morning, Professor Umbuggio randomly
picks a microphone, and it fails. What is the prob-
ability that the Telefunken was chosen? (Use the
probabilities given in the preceding problem.)
(a) 3/7
(b) 4/7
(c) 6/13
(d) 7/13
(e) 1/2
(f) none of the above
Transcribed Image Text:24. Umbuggio has two microphones which he uses to teach in RH100; one is Sony and one is Telefunken. The Sony fails with probability .3, while the Tele- funken fails with probability 4. On Monday morn- ing, Umbuggio picks a microphone at random. What is the probability that it will fail? (a) .7 (b) .35 (c) .12 (d) .58 (е) .42 (f) none of the above 25. On Tuesday morning, Professor Umbuggio randomly picks a microphone, and it fails. What is the prob- ability that the Telefunken was chosen? (Use the probabilities given in the preceding problem.) (a) 3/7 (b) 4/7 (c) 6/13 (d) 7/13 (e) 1/2 (f) none of the above
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