Question

A commuter crosses one of three bridges, A, B, or C, to go home from work....

A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses A with probability 1/3, B with probability 1/6, and C with probability 1/2. The commuter arrives home by 6 p.m. 75%, 60%, and 50% of the time by crossing bridges A, B, and C, respectively. If the commuter arrives home by 6 p.m., find the probability that bridge A was used. Also find the probabilities for bridges B and C.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A network is modeled by a Markov chain with three states fA;B;Cg. States A, B, C...
A network is modeled by a Markov chain with three states fA;B;Cg. States A, B, C denote low, medium and high utilization respectively. From state A, the system may stay at state A with probability 0.4, or go to state B with probability 0.6, in the next time slot. From state B, it may go to state C with probability 0.6, or stay at state B with probability 0.4, in the next time slot. From state C, it may go...
A political party in a certain country has three candidates A, B and C, of whom...
A political party in a certain country has three candidates A, B and C, of whom it will select one to run for presidency. The probabilities of selecting the three candidates from the political party are 25%, 25% and 50% respectively. If A is selected, he has a 40% probability of winning the presidency whereas the same probabilities are 50% and 80% for B and C respectively, provided they are selected. Suppose that the candidate from this party is selected...
A large shipment of batteries consists of three brands, say A, B, and, C. One battery...
A large shipment of batteries consists of three brands, say A, B, and, C. One battery of each brand will be randomly selected and tested to determine if they work properly. Assume that whether one battery works properly or not is independent of any other battery working properly or not. Let WA=brand A works properly WB=brand B works properly WC=brand C works properly Assume we know that the probabilities of the brands working properly are given by: P(WA)=.90 P(WB)=.85 P(WC)=.95...
Three women A, B and C share an office with one telephone. Calls for this office...
Three women A, B and C share an office with one telephone. Calls for this office arrive at random during working hours in the ratios 3,2,1 for A, B and C respectively. Because of the nature of their work the three women leave the office independently at random times, so that A is absent 1/5 of her working hours and B and C are each absent 1/4 of their working hours. On occasions where the telephone rings during office hours...
A chartered financial analyst can choose any one of Routes A, B, or C to get...
A chartered financial analyst can choose any one of Routes A, B, or C to get to work. The probabilities that he/she will arrive at work on time using Routes A, B, and C are 0.45, 0.51, and 0.62, respectively. Assuming that the analyst is equally likely to choose any one of the routes, and supposing that he/she has just arrived at work on time, what is the probability that he/she chose Route A?
Three tables listed below show random variables and their probabilities. However, only one of these is...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.3 25 0.3 25 0.3 50 0.1 50 0.1 50 0.1 75 0.2 75 0.2 75 0.2 100 0.4 100 0.6 100 0.8 a. Which of the above tables is a probability distribution? b. Using the correct probability distribution, find the probability that x is: (Round the final answers to...
Three tables listed below show random variables and their probabilities. However, only one of these is...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.1 25 0.1 25 0.1 50 0.3 50 0.3 50 0.3 75 0.4 75 0.4 75 0.4 100 0.2 100 0.4 100 0.6 a. Which of the above tables is a probability distribution? (Click to select)BAC b. Using the correct probability distribution, find the probability that x is: (Round the...
Three tables listed below show random variables and their probabilities. However, only one of these is...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.1 25 0.1 25 0.1 50 0.1 50 0.1 50 0.1 75 0.6 75 0.6 75 0.6 100 0.2 100 0.4 100 0.6 a. Which of the above tables is a probability distribution? (Click to select)  A  C  B b. Using the correct probability distribution, find the probability that x is: (Round the...
One unit of A is made of two units of B, three units of C, and...
One unit of A is made of two units of B, three units of C, and two units of D. B is composed of one unit of E and two units of F. C is made of two units of F and one unit of D. E is made of two units of D. Items A, C, D, and F have one-week lead times; B and E have lead times of two weeks. Lot-for-lot (L4L) lot sizing is used for...
Thor is developing three new fitness supplements -- A, B, and C. Each pound of each...
Thor is developing three new fitness supplements -- A, B, and C. Each pound of each supplement contains four enzymes: E1, E2, E3 and E4, in the amounts (in milligrams) shown in the table. E1 E2 E3 E4 A 3 2 1 1 B 1 6 3 1 C 2 3 1 5 The cost of E1 is $20/mg, the cost of E2 is $40/mg, the cost of E3 is $10/mg, and the cost of E4 is also $10/mg. The...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT