A factory tests a random sample of 17 transistors for defects. The probability that a particular transistor will be defective has been established by past experience as 0.06. What is the probability that there are no defective transistors in the sample? The probability that there are no defective transistors in the sample is (Round to four decimal places as needed.)
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- An Engineer has a duty of conducting compressive strength test for 50 concrete cubes. 40 cubes passed the test successfully and 10 cubes failed in the test. If 5 cubes are selected at random by the engineer to be inspected, determine the probability that the selected concrete cubes exactly include 4 cubes passed and 1 cube :failed? Choose the correct answer 0.254 O 0.334 O 0.678 O 0.112 O 0.431 O33% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 8 rabbits, exactly 1 will have long hair? (Give your answer correct to three decimal places.)a statistics professor has stated that 90% of his studnets pass the class. to check this claim, a random sample of 150 students who have taken the class indicated that 129 passed the class. If the professor's claim is correct, what is the probability that 129 or fewer will pass the class this semester?a .9484b .0516c .5516d .4484e .1624
- 3.32 Arachnophobia: A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 10 teenagers sleeping in each tent. Assume that these 10 teenagers are independent of each other. a) Calculate the probability that at least one of them suffers from arachnophobia. Round your answer to 4 decimal places. b) Calculate the probability that exactly 2 of them suffer from arachnophobia? Round your answer to 4 decimal places. c) Calculate the probability that at most 1 of them suffers from arachnophobia? Round your answer to 4 decimal places.A manufacturer of liquid crystal displays (LCDs) is studying their production lines. The probability of sampling a defective LCD is 0.1. A sample of 5 LCDs is taken. You may assume that an LCD being defective is independent of any of the others being defective. What is the probability that more than 3 LCDs are NOT defective? 01) 0 2) 0.00001 3) 0.06561 4) 0.32805 5) 0.59049 6) 0.6561 7) 0.91854 8) 0.85366 4 9) 1Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.
- The manufacturing of semiconductor chips produces 5% defective chips. Assume that the chips are independent and that a lot contains 500 chips. Approximate the following probabilities. Include in the solution the binomial solution (final answers may not be exact due to rounding. Choose the nearest answer as necessary). More than 25 chips are defective Between 20 and 30 chips are defective O a. 0.4591, 0.6442 O b. 0.1071, 0.4391 O C. NONE O d. 0.4916, 0.15032) A particular NBA player is a career 59% field goal shooter. If he takes 50 shots, find: a) the probability he makes at most 30 using the normal approximation to the binomial. b) the probability he makes exactly 28 using the normal approximation to the binomial.Based on a poll, among adults who regret getting tattoos, 13% 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 (a) through (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. (Round to four decimal places as needed.)
- A recent survey of 1022 employees found that 26% of them would lay off their bosses if they could. Complete parts a through d below based on a random sample of 10 employees. ... a. What is the probability that exactly three employees would lay off their boss? The probability is (Round to four decimal places as needed.) b. What is the probability that three or fewer employees would lay off their bosses? The probability is (Round to four decimal places as needed.) c. What is the probability that five or more employees would lay off their bosses? The probability is (Round to four decimal places as needed.) d. What are the mean and standard deviation for this distribution? The mean number of employees that would lay off their bosses is (Type an integer or a decimal. Do not round.) The standard deviation of employees that would lay off their bosses is approximately (Round to four decimal places as needed.) 4A recent survey of 1123 employees found that 38% of them would lay off their bosses if they could. Complete parts a through d below based on a random sample of 12 employees. a. What is the probability that exactly three employees would lay off their boss? The probability is (Round to four decimal places as needed.)The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 14 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? O A. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. O B. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to 0.05. OC. It is not unlikely for such a combined sample to test positive, because the probability that the…