Question

A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project...

A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = 0.23, P(A2) = 0.25, P(A3) = 0.29, P(A1 ∩ A2) = 0.09,P(A1 ∩ A3) = 0.11, P(A2 ∩ A3) = 0.07, P(A1 ∩ A2 ∩ A3) = 0.02. Use the probabilities given above to compute the following probabilities. (Round your answers to four decimal places.)

(a)   P(A2 | A1) =

(b) P(A2 ∩ A3 | A1) =

(c)  P(A2 ∪ A3 | A1) =

(d) P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3) =

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 computer consulting firm presently has bids out on three projects. Let Ai = {awarded project...
A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1 ∩ A2) = 0.13, P(A1 ∩ A3) = 0.03, P(A2 ∩ A3) = 0.07, P(A1 ∩ A2 ∩ A3) = 0.01. Express in words each of the following events, and compute the probability of each event. a) A1 ∪ A2 Express in words the...
A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project...
A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1 ∩ A2) = 0.14, P(A1 ∩ A3) = 0.04, P(A2 ∩ A3) = 0.06, P(A1 ∩ A2 ∩ A3) = 0.01. Express in words each of the following events, and compute the probability of each event. (a) A1 ∪ A2 Express in words the...
A computer consulting firm presently has bids out on three projects. Let ?? = {????? ???????...
A computer consulting firm presently has bids out on three projects. Let ?? = {????? ??????? ?}, for ? = 1,2,3, and suppose that ?(?1 ) = 0.22, ?(?2 ) = 0.25, ?(?3 ) = 0.28, ?(?1 ∩ ?2 ) = 0.11, ?(?1 ∩ ?3 ) = 0.05, ?(?2 ∩ ?3 ) = 0.07, ?(?1 ∩ ?2 ∩ ?3 ) = 0.01 Compute ?(?1 ∩ ?2 ∩ ?3 | ?1 ∪ ?2 ∪ ?3).
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that P(A1) = 0.25, P(A2) = 0.29, P(A3) = 0.33, P(A1 ∪ A2) = 0.5, P(A1 ∪ A3) = 0.53, P(A2 ∪ A3) = 0.54, P(A1 ∩ A2 ∩ A3) = 0.02 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.11   P(A2) = 0.07   P(A3) = 0.05 P(A1 ∪ A2) = 0.15 P(A1 ∪ A3) = 0.14 P(A2 ∪ A3) = 0.1 P(A1 ∩ A2 ∩ A3) = 0.01 (Round your answers to two decimal places.) (a) Given that the system has a type...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.16      P(A2) = 0.10     P(A3) = 0.08 P(A1 ∪ A2) = 0.18      P(A1 ∪ A3) = 0.19 P(A2 ∪ A3) = 0.14      P(A1 ∩ A2 ∩ A3) = 0.02 (a) What is the probability that the system does not have a type 1 defect? (b) What is the...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.11 P(A2) = 0.06 P(A3) = 0.04 P(A1 ∪ A2) = 0.14 P(A1 ∪ A3) = 0.13 P(A2 ∪ A3) = 0.08 P(A1 ∩ A2 ∩ A3) = 0.01 (Round your answers to two decimal places.) (a) Given that the system has a type...
Part 1 The three most popular options on a certain type of new car are a...
Part 1 The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 48% of all purchasers request A, 59% request B, 74% request C, 68% request A or B, 85% request A or C, 83% request B or C, and 90% request A or B or C, determine the probabilities of the following events. [Hint: "A or B" is the event that at least...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT