QUESTION 5 The line width for semiconductor manufacturing is assumed to be Normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.04 micrometer. (a) What is the probability that a line width is greater than 0.62 micrometer? ANSWER: 0.001350 (b) What is the probability that a line width is between 0.47 and 0.63 micrometer? ANSWER: 0.772796
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- population mean = 1.00 populaton standard deviation = 2.45 X = 1.43 N = 18 What is the probability (z score) for this value of X? .4325 .4286 .4247 .05A species of bird has eggs that have an average weight of 92.5 grams with a standard deviation of 12.3 grams. The weights of the eggs are approximately normally distributed. ___________________ percent of the eggs weigh more than 85 grams. The probability is ___________________ that a randomly selected egg will weigh between 80 grams and 110 grams. Thiry-seven percent of the eggs weigh more than ___________________ grams. Half of the eggs weigh more than ___________________ grams.Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 275 U.S. adults is selected. Round your answers to at least four decimal places as needed. Part 1 of 6 (a) Find the mean μp . The mean μp is 0.61 . Part 2 of 6 (b) Find the standard deviation σp . The standard deviation σp is 0.0294 . Part: 2 / 6 2 of 6 Parts Complete Part 3 of 6 (c) Find the probability that more than 62% of the sampled adults drink coffee daily. The probability that more than 62% of the sampled adults drink coffee daily is
- Remaining Time: 2 hours, 09 minutes, 41 seconds. * Question Completion Status: O unchanged O increased by 300 % O decreased by 300 % QUESTION 2 A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard deviation of 4 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 56 ohms'? O 35.2 % O 93.32 % 64.8 % 6.68 % QUESTION 3 To estimate the average time it takes to assemble a certain computer component, the industrial engineer at an electronics firm timed 16 technicians in the performance of this task, getting a mean of 13 minutes and a standard deviation of 3.1 minutes. Construct a 99% confidence interval of the actual average time required to do the job assuming that the actual time follows a normal distribution. O (10.716, 15.284) O (10.983, 15.017) O (11.004, 14.996)Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.7. (Round your answers to four decimal places.) In USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 44 pins is at least 51?A population of values has an unknown distribution with μ=109.2μ=109.2 and σ=15.3σ=15.3. You intend to draw a random sample of size n=88n=88.What is the mean of the distribution of sample means?μ¯x=μx¯= ____________ (Please enter an exact answer.)What is the standard deviation of the distribution of sample means?σ¯x=σx¯=_____________ (Please report your answer accurate to 2 decimal places.)
- Standardized tests: In a particular year, the mean score on the ACT test was 22.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 504 and the standard deviation was 100. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Find the z-score for an ACT score of 30.GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95. Estimate the percentage of scores that were(a) between 452 and 642. ________%(b) above 832._________ %(c) below 452. ___________%(d) between 357 and 642. ___________% Answer the blanks.The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 10. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower? answer: (c) Consider someone with a maximum oxygen uptake of 31 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer:
- The price (dollars per 1,000 board feet) of Douglas fir from western Washington and Oregon varies according to a triangular distribution T(290, 360, 490). (a) Find the mean. Mean _________ (b) Find the standard deviation. (Round your answer to 2 decimal places.) Standard deviation ____________ (c) What is the probability that the price will exceed 420? (Round your answer to 4 decimal places.) Probability _____________Mean (E(x)) = np St. dev=Given the number of trials and the probability of success, find the mean, standard deviation1.n =12, p = 0.22. n = 20, p = 0.5In addition, find the indicated probabilities3. n =11, p = 0.05, find P(3 failures)4. n = 6, p = 0. 35, find P(at least 3 successes)5. A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws?6. The manufacturing sector contributes 17% of Canadas gross domestic product. A customer orders 50 components from a factory that has a 99% quality production rate (99% of the products are defect-free). Find the probability that:a) none of the components in the order are defectiveb) there is at least one defective product in the order.c) There are at least two defective products in the order.d) Expected number of defective parts.7. Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability thata) none of your eggs…The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable.(a) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean_________ml (b) Where should the mean be set to ensure a 99 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______ml (c)Where should the mean be set to ensure a 99.9 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______ml
