anonymous
  • anonymous
Bobby is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.15. If the flight is on​ time, the probability that his luggage will make the connecting flight is 0.8​, but if the flight is​ delayed, the probability that the luggage will make it is only 0.55. In either​ case, Bobby makes the flight. Complete parts​ (a) and​ (b). a. What is the probability that Bobby's luggage is there to meet him in city​ C?
Mathematics
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anonymous
  • anonymous
Bobby is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.15. If the flight is on​ time, the probability that his luggage will make the connecting flight is 0.8​, but if the flight is​ delayed, the probability that the luggage will make it is only 0.55. In either​ case, Bobby makes the flight. Complete parts​ (a) and​ (b). a. What is the probability that Bobby's luggage is there to meet him in city​ C?
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Bobby is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.15. If the flight is on​ time, the probability that his luggage will make the connecting flight is 0.8​, but if the flight is​ delayed, the probability that the luggage will make it is only 0.55. In either​ case, Bobby makes the flight. Complete parts​ (a) and​ (b). a. What is the probability that Bobby's luggage is there to meet him in city​ C?
triciaal
  • triciaal
|dw:1437365135548:dw|
triciaal
  • triciaal
one approach probability of flight on time and connect = 0.15*0.8 probability of delayed and connect = 0.85* 0.55

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triciaal
  • triciaal
add the probabilities
anonymous
  • anonymous
i mess up
triciaal
  • triciaal
did not see part (b)
anonymous
  • anonymous
(a) i mess up on
anonymous
  • anonymous
b. If Bobby'ss luggage is not there to meet him​, what is the probability that Bobby was late in arriving in city​ B?
anonymous
  • anonymous
Helppp
triciaal
  • triciaal
|dw:1437366014392:dw|
triciaal
  • triciaal
@freckles can you help with this?
anonymous
  • anonymous
0.5175
anonymous
  • anonymous
what did
freckles
  • freckles
someone correct me if I'm wrong I think it is \[P(lug)=P(lug|A)P(A)+P(lug| \text{ not } A)P(\text{ not } A)\] where we are given: \[P(lug|A)=.8 \\ P(A)=.15 \\ P(lug| \text{not } A)=.55\]

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