Asked Oct 10, 2019

Use Bayes’ Theorem to find P(A | B) using the probabilities shown below. P(A)=2/3, P(A’)=1/3, P(B | A)= 1/5, and P(B | A’)=7/10 

The probability of event A, given that event B has occurred, is P(A | B)=

(Round to the nearest thousandth as needed


Expert Answer

Step 1

Bayes theorem:

The formula of Bayes theorem for P(A|B...


Image Transcriptionclose

P(4)P(B|A) P(A\B) P(A)P(B| A)+ P(A')P(B|A')


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: I need help answering the following question using the data attached below: Create a histogram that ...

A: Enter the data of population as ashown below in excel


Q: The next day he shows up with another coin that gives tails 60% of the time. If he flips the coin fi...

A: Binomial distribution:The probability mass function (pmf) of a binomial random variable X is given a...


Q: Does buying CDs depend on whether you own a smartphone or not? A survey asks a group of students if ...

A: (a)The null and alternative hypotheses are:H0: The two variables are independent, so owning a smartp...


Q: Two fair 5-sided dice are rolled and the numbers shown uppermost are observed. Find the number of ou...

A: The number of outcomes for the sum of the numbers is 8 is 3 and it is computed below: From the given...


Q: Part 1 and 2

A: 4) 1) The expected GPA when SAT=600 is 12.8 and it is calculated below: From the given information, ...


Q: Prove that if two events, A and B, are mutually exclusive, then P(A | A U B ) = P(A) / ( P(A) + P(B)...

A: If two events are mutually exclusive, then the two events are disjoint event.In other words, if A an...


Q: The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is 27.2...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...


Q: Question 26 problem is in the photo!

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...


Q: The cost of consumer purchases such as single-family housing, gasoline, Internet services, tax prepa...

A: The descriptive statistics are calculated in EXCEL. The procedure is as follows.Enter the data in co...