73. A manufacturing firm produces pipes in two plants I and II with dailyproduction 1,500 and 2,000 pipes respectively. The fraction of defective pipes produced bytwo plants I and II are 0-006 and 0-008 respectively. If a pipe selected at random from thatday's production is found to be defective, what is the chance that it has come from plant I,plant II ?

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Answered: 73. A manufacturing firm produces pipes…

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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4.A bank has two different customer lines, A and B. Callers dial a single number with 444. Customer service, callers randomly to one of these two lines It directs. In these lines, there is a difference between the lengths of the customers' conversations after connecting to the operator. It is desired to be determined. Random samples of two lines were selected and the following data were obtained. (?? = the last three digits of your student number. If all the last three digits are zero, choose as a three-digit number) A LİNE B LİNESample Size ?1 = 200 ?2=176Sample Average (seconds) 216 195Sample Standard Deviation 35.10 37.80 a.Using the sample statistics, estimate the difference of the two mainstreams within the 95% confidence interval.b.Hypothesis…
1. Suppose 1495 Valencia College students were selected at random from the entire student body and given an experimental H1N1 flu shot. All 1495 were exposed to the flu, but only 332 of them actually ended up sick with the flu. Let p represent the probability that the flu shot will be successful. (Read this carefully!) A. Find the point estimate for the population proportion from this study. Show your simplified fraction for the point estimate. Use proper notation. B. Build a 98% confidence interval for the real population proportion by hand using the formula. Draw a picture that represents the problem and clearly indicate your final answer C. Use a complete sentence or two to interpret your confidence interval.
18.
Suppose you rolled a fair six-sided die a few times and recorded the results. (You would have a collection of numbers 1-6.) Now, suppose you wanted to average these numbers. What value would you expect? If the die was rolled 6 times and the results were: 1, 4, 2, 2, 3, 2, then the average of this sample of rolls would be 2.333. This experiment could be peformed again: 6, 5, 2, 1, 1, 4. Now, the average of this sample is 3.167. Obviously, these small samples have a lot of variation in them; however, is there a way to calculate the expected average? If we were to construct a very large sample, rolling this die 1 million times, what would the expected value (mean) be? Luckily, the rules of probability allows us to do this calculation without actually having to roll the die 1 million times! Below, you will find a probability table where all of the possible outcomes from the die are listed. The first column contains the possible outcomes on the die, the second column contains the…
From the urn of Problem 1, ten balls are selected with replacement. Color Red Blue Green BrownNumber 4 3 2 1◼ 3.1. Estimate the probability that four or less red balls are selected.◼ 3.2. Estimate the probability that more than four blue balls are selected.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
Q6. What is the probability of getting the expected number of Heads from 20 tosses of a fair coin when the first two tosses are both HEADS? A. 0.167 B. 0.212 С. 0.336 D. 0.488 O A. A О В. В С. С D. D
10. You roll a fair die repeatedly. If it shows 1, you must stop, but you may choose to stop at any prior roll. Your score is the square of the number shown by the die on the final roll. Suppose you decide to stop if it shows a number greater than or equal to i. Determine the i that results in the maximum expected score.
20. The expected number of success in 200 tosses of a fair coin is A. 100 В. 200 С. 50 D. 120
13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3 D.2 14. When a fair die is tossed, what is the probability of getting an odd number? A. 1/4 B. 1/2 C. 1/3 D. 2 15. When two dice is tossed, what is the probability of getting a sum of 32 A. 1/10 В. 1/11 С. 1/18 D. 1/21 16. When two dice is tossed, what is the probability of getting a sum of 5? A. 1/4 В. 1/5 C. 1/8 D. 1/9 17. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a blue ball? A. 1/4 B. 1/5 C. 1/8 D. 3/10 18. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a red ball? В. 1/5 A. 1/4 C. 1/8 D. 3/10 19. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a PINK ball? A. O В. 1 С. 1/8 D. 3/10 20. There are 15 green balls inside a jar. What is the probability of getting a green ball? A. O D. 3/10 В. 1 С. 1/8
1.) A basket contains 11 red apples and 8 green apples. A sample of 5 apples is drawn. Find the probability that the sample contains the following, and give your answer as a reduced fraction. (a) All green apples (b) 2 green apples and 3 red apples (c) More red than green apples
7.1 John, Pedro and Rosita each roll one fair die. How do we calculate the probability that the score of Rosita is equal to the sum of the scores of John and Pedro?

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