An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore,his records show that 45% of the females who visited his dealership purchased an automobile, while 35% of the males who visited his dealership purchased anautomobile.• Let A, - the event that the customer is fermale.• Let A, - the event that the customer is male.(a) What is the probability that a customer entering the showroom will buy an automobile?(b) A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? (Round your answer to threedecimal places.)

For the given data Find ( a ) and ( b )

Answered: An automobile dealer has kept records…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose a person is chosen at random. Use your knowledge about the world to decide whether the event that the person has hazel eyes and the event that the person is male are independent or associated. Explain.
At a class, 80% are female and 40% of the students like to swim. Of the students thatlike to swim, 60% are females. What is the probability that a student chosen at random isa female who likes to swim?
A poll reported that 70% of adults were satisfied with the job the major airlines where doing. Suppose 12 adults are selected at random and the number who are satisfied is recorded. (a) Find the probability that exactly 6 are satisfied with the airlines. (b) Find the probability that fewer than 10 are satisfied with the airlines. (c) Find the probability that 6 or more are satisfied with the airlines. (d) Find the probability that between 4 and 7, inclusive, are satisfied with the airlines. (a) The probability that exactly 6 adults are satisfied with the airlines is. (Round to four decimal places as needed.)
The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
Suppose there are 6 red balls and 4 white balls in a urn.(1) event A={First draw is a white ball}, what is P(A), probability of A?(2) Now assume we do picking balls one by one without replacement. event B={Second draw is a white ball}, what is P(B), probability of B? (3) Are A and B independent? Justify your answer. please explain and do all the steps fully!
Suppose you just purchased a digital music player and have put 15 tracks on it. After listening probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 15 songs are played. them you decide that you like 2 of the songs. With the random feature on your player, each of the 15 songs is played once in random order. Find the (a) The probablility that you like both songs is 0.010. (Round to three decimal places as needed.) Would it be unusual for you to like both of the songs? * Yes X No (b) The probability that you like neither song is. (Round to three decimal places as needed.) Question Viewer
The probability that a painting job is finished in 2-5 days is 0.55, in 5-8 days is 0.76 and in 2-8 days is 0.90. What is the probability that the job is finished in 2-4 days?
Three students from a 21 student class will be selected to attend a meeting. 7 of the students are female. what is the probability that all three of the students chosen to attend the meeting are female?=
On a test to obtain a securities license there are 10 questions with possible answers A, B, C, D, & E with probability of getting the correct answer is 70%. A student is taking this test , what is the probability of getting at least 4 correct by guessing on the 10?
10 candidates appeared for an interview and 3 of them were friends. The company had to hire 4 people, what is the probability that none of the friends will be selected.
Suppose 70% of sales people in a corporate are women. Further, 20% of sales peoplegot a promotion last year and 24% of sales people are men who were not promoted. Sup-pose we randomly select a sales person. Are the events A = {sales person is a woman} andB = {sales person got promoted} independent?
Subjects were randomly chosen for a clinical trial consisting of 87 women and 88 men. 17 of the women and 22 of the man have high blood pressure. the probability that a randomly chosen subject from the trial does not have high blood pressure given that this subject is female the probability that a randomly chosen subject from the trial has high blood pressure given that this subject is male the probability that a randomly chosen subject from the trial does not have high blood pressure given that this subject is male

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS