1. RandomizationUse indicator random variables to solve thefollowing problem: Supposen customers turn ina garment for dry cleaning. While cleaning allthe clothes, the dry cleaner accidentally losesthe tickets and decides to randomly select agarment to give back to a customer. What is theexpected number of customers that get backtheir own clothes?Suppose you are given a biased coin whichlands heads with probability of 2/3. For anunbiased flip, you want two events with equalprobability. How can use the biased coin toproduce a fair flip (two events with equalprobability)? Describe the two events and showthat their probabilities are equal. [Hint: Considertwo consecutive flips of the biased coin.]

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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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Suppose you have a large bucket of fruit candy, where 1% is orange flavor, 13% is mango flavor, 9% is apple flavor, and the rest is is grape flavor. You pick one candy at a time from the bucket, at random, without looking. What is the probability that you pick a mango candy before an orange one?
This Question: 1 pt 2 of 5 This Quiz: 5 pts possible Let a be the altitude (in thousands of feet) of an airplane at t minutes since the airplane began its descent. Some pairs of values of t and a are shown in the following table. Choose the correct graph below. O A. OB. Aa 32- Aa 32- 10 15 20 a 28 22 16 10 4 28 28 С. D. Aa 32- Aa 32- 28 28 b. Use the model to estimate the airplane's altitude. The airplane's altitude 12 minutes after it began its descent is thousand feet. (Round to the nearest integer as needed.) c. Use the model to estimate the time until touchdown. The airplane will reach the ground in minutes. (Round to the nearest integer as needed) Click to select your answer(s). Conta
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.013, the probability that a computer produced by factory B is defective is 0.049, and the probability that a computer produced by factory C is defective is 0.056. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:
Please solve a, b, c, d, e, and f.
A product is made by 3 machines, B1, B2, and B3 with 30%, 45% & 25%, respectively. The machines produce with 2%, 3% & 2% defective rates. A product is randomly chosen and it is defective. What is the probability that the product is made by machine B3?
A WAL*MART manager has five good light bulbs and four defected light bulbs in Box 1 and four good light bulbs and five defected light bulbs in Box 2. If the manager transfers one light bulb at random from Box 1 to Box 2, what is the probability of his then drawing a good light bulb from Box 2? (Round to four decimal places. Do not use %)
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.038, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.047. A computer is selected at random and it is found to be defective. What is the probability it came from factory B? Answer:
Two students agree to meet at the Science Library between 7pm to 8pm next evening.They also agree that the student arriving first will wait until this student waits for half an hour.What is the probability that they will meet if they arrive at the Science Library between 7pm to8pm next evening randomly?
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?
A cook is preparing fruit jam for the festival next week. She has bought 30 apples from the farmer's market and unknown to the cook, 8 of these apples are not fresh. She will randomly select 10 apples to prepare the jam. What is the probability that she will use at least 3 of the apples that are not fresh for preparing the jam?
If two events are mutually exclusive why is P(A and B)=0?

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