A boiler has four identical relief valves. The probability that any particular valve will open on demand is 0.95. Assumeindependent operation of the valves.Calculate P(at least one valve opens). (Round your answer to eight decimal places.)Calculate P(at least one valve fails to open). (Round your answer to four decimal places.)

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Answered: A boiler has four identical relief…

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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A group of people were asked if they had run a red light in the last year. 210 responded "yes", and 354 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
The odds in favor of Michael Jordan making a free throw were 21:4. Find the probability of Michale Jordan missing a free throw. Give answer as a decimal to the nearest hundredth.
A standard die is rolled. Find the probability that the number rolled is greater than 3. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please show formulas in EXCEL format a. What is λ? 2 per min b. What is μ? 18 seconds c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait.
Based on a poll, among adults who regret getting tattoos, 12% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (b) through (c) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.3165 (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. (Round to four decimal places as needed.)
Match Column A with the correct Probability in Column B. Write only the letter of your answer on the space provided on Column B's right side. Column A Column B Answers 1. Find the Probability of rolling a fair die having a composite number. A. 0.08 B. 0.30 2. When you roll a fair dice, what is the probability of having multiples of three? 3. Determine the probability of drawing a red card from a deck of cards. C. 0.33 4. What is the probability of drawing a "6" card from a deck of cards? D. 0.50 5. A bag contains 6 red sweets and 14 blue sweets. A sweet is taken at random from the bag. What is the probability that it is a red sweet?
A machine has 32 identical components which function independently. The probability that a component will fail is 0.28. The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.
Q10. Given that the switchboard of a consultant's office receives on average 0.8 calls per minute, find the probability that in a 5-minute interval there will be exactly 4 calls, and in the following 4- minute interval, there will be exactly 1 call. (Consider the entire 9 minute interval to calculate your answer.)
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