Question

Probability and statistic ASAP! will thumbs up for the correct answer Consider randomly selecting a student...

Probability and statistic ASAP! will thumbs up for the correct answer

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card, B be the analogous event for MasterCard, and C be the event that the selected student has an American Express card. Suppose that P(A) = .6, P(B) = .4, P(C) = .2, P(A ∩ B) = .3, P(A ∩ C) = .15, P(B ∩ C) = .1, and ?(?∩B∩?) = .08.

a. What is the probability that the selected student has at least one of the three types of cards?

b. What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card?

c. Calculate and interpret P(B|A).

d. Calculate and interpret P(A|B).

e. If we learn that the selected student has an American Express card, what is the probability that she or he also has both a Visa card and a MasterCard? f. Given that the selected student has an American Express card, what is the probability that she or he has at least one of the other two types of cards?

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
Consider randomly selecting a student at a large university, and let A be the event that...
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose that P(A) = 0.7 and P(B) = 0.4.(a) Could it be the case that P(A ∩ B) = 0.5? Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) ≤ P(B).] C) What is the probability that...
Consider randomly selecting a student at a certain university, and let A denote the event that...
Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard where P(A) = 0.45, P(B) = 0.45, and P(A ∩ B) = 0.30. Calculate and interpret each of the following probabilities (a Venn diagram might help). (Round your answers to four decimal places.) (a) P(B | A) (b) P(B' | A) (c) P(A | B) (d) P(A'...
Of 10,000 students at a university, 2,500 have a MasterCard card (M), 4,000 have a Visa...
Of 10,000 students at a university, 2,500 have a MasterCard card (M), 4,000 have a Visa card (V), and 4,000 have neither card. A. Find the probability that a randomly selected student has both cards? B. Find the probability that a randomly selected student has at least one of these two cards? C. Find the probability that a randomly selected student has a MasterCard but not a Visa card? D. [What proportion of students who have a MasterCard also have...
1. The probability that a student has a Visa card (event V) is 0.30. The probability...
1. The probability that a student has a Visa card (event V) is 0.30. The probability that a student has a MasterCard (event M) is 0.40. The probability that a student has both cards is 0.12. (1) Find the probability that a student has either a Visa card or a MasterCard. (2) In this problem, are V and M independent? Why? 2. This is a contingency table describes 100 business students. Gender Major Female(F) Male(M) Accounting (A) 22 28 Economics(E)...
PLEASE EXPLAIN WITH DETAIL DONT COPY AND PASTE ANSWERS Consider randomly selecting a student at a...
PLEASE EXPLAIN WITH DETAIL DONT COPY AND PASTE ANSWERS Consider randomly selecting a student at a certain large university, and let A denote the event that the selected student has taken a course in Philosophy and let B denote the event that the student has taken an on-line course. Suppose that ?(?) = .5, ?(?) = .4, and ?(? ∩ ?) = .25. a. Determine the probability that the selected student has taken either a Philosophy course or an on-line...
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances...
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $850 and a standard deviation of $265. Assume that the balances on all these Visa cards follow a normal distribution. A. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1000 and $1410 ? Round your answer to three decimal...
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances...
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $830 and a standard deviation of $275. Assume that the balances on all these Visa cards follow a normal distribution. a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $950 and $1400? Round your answer to three decimal places....
One card is selected at random from an ordinary deck of 52 playing cards. Events A,...
One card is selected at random from an ordinary deck of 52 playing cards. Events A, B, and C are defined below. Find the probabilities for parts (a) through (h) below and express your results in words. Compute the conditional probabilities directly: do not use conditional probability rule. Note that the ace has the highest value. A = event a face card is selected B = event a jack is selected C = event a spade is selected a. Find...
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail...
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail establishment accepts either the American Express card or the VISA credit card. A total of 30% of its customers carry an American Express card, 70% carry a VISA card, and 20% carry both. a) Find the probability that a randomly selected customer carries at least one of the two credit cards. i) Draw a Venn diagram and shade the region corresponding to at least...
A card is randomly drawn from a standard deck of 52 playing cards. If event A...
A card is randomly drawn from a standard deck of 52 playing cards. If event A is drawing a queen, and event B is drawing a spade, find the following probabilities. Express answers as a decimal to the nearest thousandths. (a) P(A and B) (b) P(A or B) (c) If a spade has been drawn from the deck, what is the probability of drawing another spade?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT