C net/web/S udent/Assignment-Responses/submi B26244 EE Apps t Bookmarks GUITAR T
ID: 3173166 • Letter: C
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C net/web/S udent/Assignment-Responses/submi B26244 EE Apps t Bookmarks GUITAR TABS AND CH D Make e payment m Courses-Blackboard MMail Rashid Umer D matlab, a practical D M bers Area wep D virginia Community C MInborah-ur241cer A department store sells sport shirts in three size (small, medium, and large) three patterns (plaid, print, and stripe), and two sleeve lengths (long and short). The accompanying tables give the proportions of shirts sold in the various category combinations. Short-sleeved Pattern 0.04 0.0S 0.06 0,06 0.12 0.03 0.0 0,0 Long-sleeved Pattern Size Pr 0,03 0,02 0,03 0.0S 0.07 0.04 0.08 a) what is the probability that the next shirt sald is a medium iorg sleeved, print shirt? (b) Wi is the probability that the next shirt sold is a medium print shirt? hat (c) what is the probability that the next shirt sold is a short-sleeved shirt? A long-sleeved shirt? short-sleeved shirt long-sleeved shirt (d) what is the probability that the size of the next shirt sold is medium? What is the probability that the pattern of the next shirt sold is a print? (e) Given that the shirt just scld was a short-sleeved plaid, what is the probability that its size was medium? (Round your answer to three decimal placesExplanation / Answer
A) P(Medium, long-sleeved, print) = 0.13
B) P(Medium print shirt sold)
= P(Medium print short-sleeved + P(Medium print long-sleeved)
= 0.06 + 0.13
= 0.19
C) P(Short sleeved shirt) = 0.04 + 0.02 + 0.05 + 0.06 + 0.06 + 0.12 + 0.03 + 0.07 + 0.08 = 0.53
P(Long sleeved shirt) = 1 - 0.53 = 0.47
D) P(Medium shirt) = 0.06 + 0.06 + 0.12 + 0.05 + 0.13 + 0.07 = 0.49
P(Print shirt) = 0.02 + 0.06 + 0.07 + 0.02 + 0.13 + 0.02 = 0.32
E) P(Medium | short sleeved)
= P(Medium and short sleeved) / P(Short sleeved)
= (0.06 + 0.06 + 0.12) / 0.53
= 0.24/0.53
= 0.453
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