6. There are 15 balls in an urn. 7 of the balls are red, and 8 of the balls are blue. Drawing a ballwith replacement means that you take a ball out, note its color, and then return it. Drawing withoutreplacement means that you take a ball out and do not put it back.1(a) What is the probability that if you draw one ball, it will be blue?(b) If you draw two balls without replacement, what is the probability that you draw a red and thena blue?(c) If you draw two balls with replacement, what is the probability that you draw a red and then ablue?(d) If you draw three balls without replacement, what is the probability that you draw at least twored balls?(e) If you draw three balls with replacement, what is the probability that you draw at least two redballs?

It is given that Red balls = 7 Blue balls = 8 Total balls = 15 Note: According to Bartleby expert…

Answered: (a) What is the probability that if you…

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...

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Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
For this problem, assume that you weigh 500 duck hatchlings. You find that 93 are slightly underweight, 6 are severely underweight, and the rest are normal. (1) What probability should be assigned to a single duck hatchling's being slightly underweight? (2) What probability should be assigned to a single duck hatchling's being severely underweight? (3) What probability should be assigned to a single duck hatchling's being normal?
For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C, 14 % receive a D, and 8 % receive an F. (1) What probability should be assigned to the event "pass the course"? (2) What probability should be assigned to the event "withdraw or fail the course"?
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
The probability that the first record of a singing group will be a hit is 0.48. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.24. If the first two records are not hits, the probability that the third is a hit is 0.12. Find the probability that a group has exactly 2 hits in their first three records. P(exactly 2 hits in first three records) = (Simplify your answer. Type an integer or a decimal. Round to 6 places.)

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(a) What is the probability that if you draw one ball, it will be blue? (b) If you draw two balls without replacement, what is the probability that you draw a red and then a blue? (c) If you draw two balls with replacement, what is the probability that you draw a red and then a blue?