Question

When do we use The Law of Total Probability as opposed to Bayes Theorem?

When do we use The Law of Total Probability as opposed to Bayes Theorem?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

we know that the Bayes theorem is used to find the conditional probability of an event whent the probability of other events are given, i.e. the probability of an event when other event occurred, but the law of total probability is used in a different situation.

When we have disjoint sets or mutually exclusive sets, then the probability of an event is calculated using the low of total probability by knowing the intersection of the given event with other events. These probabilities of intersection with other events are combined to get the probability of the disjoint set.

So, the law of total probability is used when we have mutually exclusive events.

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
How can you use Bayes’ theorem in light of new information? In Bayes’ theorem, how does...
How can you use Bayes’ theorem in light of new information? In Bayes’ theorem, how does the prior probability differ from the revised probability?
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to...
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(A | B) = .2, P(B) = .1, P(A | B') = .6. Find P(B | A). P(B | A) =
1.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to...
1.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(A | B) = .4, P(B) = .1, P(A | B') = .6. Find P(B | A). 2.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(X | Y) = 0.6, P(Y' ) = 0.7, P(X | Y' ) = 0.1. Find P(Y...
1. Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer...
1. Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(A | B) = .2, P(B) = .4, P(A | B') = .6. Find P(B | A). P(B | A) = 2. Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(X | Y) = 0.4, P(Y' ) = 0.3, P(X |...
Bayes’ Theorem deals with the calculation of posterior probabilities, which isn’t always a natural thing to...
Bayes’ Theorem deals with the calculation of posterior probabilities, which isn’t always a natural thing to do. We’re used to forward-chaining our probabilities (e.g., if we roll a 3 on a die, what’s the probability the second roll will give us a total of 8?). Backward-chaining is less intuitive (e.g. if our total on the die was an 8, what’s the probability that the first roll was a 3?). Since the rules of probability involve simple addition and multiplication, they...
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to...
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. Y1, Y2, Y3 form a partition of S. P(X | Y1) = .8, P(X | Y2) = .4, P(X | Y3) = .7, P(Y1) = .4, P(Y2) = .1. Find P(Y1 | X). P(Y1 | X) = According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men...
Why do we use a bell curve to assess the normality of a variable as opposed...
Why do we use a bell curve to assess the normality of a variable as opposed to a square, triangle, or some other symmetrical shape?
Use Bayes theorem to answer the following question. A screening test for Hepatitis B in blood...
Use Bayes theorem to answer the following question. A screening test for Hepatitis B in blood donors has been determined to have a sensitivity of 0.97 and a specificity of 0.96. If the prevalence (what is exist) of hepatitis B in the Canadian population is 10 out of 1000 people what is the predictive value of this test for a positive result?
When do we use Z-Test and when do we use t-Test?
When do we use Z-Test and when do we use t-Test?
Now let's use Bayes' theorem and the binomial distribution to address a Bayesian inference question. You...
Now let's use Bayes' theorem and the binomial distribution to address a Bayesian inference question. You toss a bent coin N times, obtaining a sequence of heads and tails. The coin has an unknown bias f of coming up heads. (a) If NH heads have occurred in N tosses, what is the probability distribution of f? Assume a uniform prior P(f) = 1 and make use of the following result: integral 0 to 1 f^a (1 - f)^b df =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT