A bag contains 17 red marbles and 8 blue marbles. A friend reaches in and selects 5 marbles at random, with replacement. For each red marble drawn you win $1; for each blue marble you lose $1. Let W denote your net winnings. (a) Find the probability mass function for W. (b) Calculate the expected value for your net winnings. (c) Now suppose that, instead of drawing the marbles with replacement, your friend now draws 5 marbles without replacement. Find the modified PMF of W, under this new situation.

A bag contains 17 red marbles and 8 blue marbles. A friend reaches in and selects 5 marbles at random, with replacement. For each red marble drawn you win $1; for each blue marble you lose $1. Let W denote your net winnings. (a) Find the probability mass function for W. (b) Calculate the expected value for your net winnings. (c) Now suppose that, instead of drawing the marbles with replacement, your friend now draws 5 marbles without replacement. Find the modified PMF of W, under this new situation.

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

John runs a computer software store. Yesterday he counted 131 people who walked by the store, 66 of whom came into the store. Of the 66, only 29 bought something in the store. (Round your answers to two decimal places.) Estimate the probability that a person who walks by the store will enter the store. Estimate the probability that a person who walks into the store will buy something. Estimate the probability that a person who walks by the store will come in and buy something.
Please answer it with proper formula and solution. Thank you
Find the probability of that he or she owns a credit card given that the student is a freshman. Round your answer to the three decimal places
The probability of obtaining a raw chicken sandwich at Windies restaurant is 10.4%. Complete the table below to find the probability that the first raw chicken sandwich you get will be on the xth sandwich you buy.Report answers accurate to 3 decimal places or copy paste from Excel. xth sandwich bought Probability this will be your first raw chicken sandwich 1 2 3 4 5 6 or greater
A baseball player has a batting average of 0.355. What is the probability that he has exactly 4 hits in his next 7 at bats? Round your answer to 4 decimals. The probability is Show your work. Show what you entered into the calculator.
Please answer within 30min thanks.
Please give solution in correct and step by step detailed format thanku Don't give solution in image format A manufacturing company produces light bulbs. The company claims that the probability of each ball produced being defective is 0.1. If we randomly select 10 bulbs, what is the probability that exactly 3 of them will be defective?
You roll a fair six sided die twice. Find the probability of rolling a 1 the first time and a number greater than 5 the second time. (Give the answer as a decimal with 4 digits)
Imagine that you ask a friend to choose a card from a standard deck of cards. He chooses the card, then tells you that it is not a face card. Determine the probability that your friend is holding a 5. Submit your probability and all of your solution methods to earn full credit.
Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that his chances for coming out ahead and having won money after playing 20 times on a machine is 0.42, 0.55, and0.59 for the three slot machines. Find the probability that after playing each machine 20 times that he will have won money on at least one slot machine. Your answer should be to 4 decimal places.
A basketball player makes an average of 2 free throws out of every three attempts. If the player shoots ten free throws, what is the probability that he will make exactly seven shots?
when a single die is rolled, find the probability of gitting a 9.