Question Completion Status: QUESTION 1 A batch contains 100 batteries of which 12 are defective. Two batteries are slected at random without replacement. What is the probability that at least one of the batteries selected is defective? ( Give your answer to 3 decimals place) QUESTION 2 Suppose that 63% of all Statistics graduates get a job within one month of their graduation. This semester, we have 17 statistics graduates. On average how many of them will find job within one month. Give your answer to 3 decimal places. QUESTION 3 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers ClQUESTION 6 1 points A machine is producing screws whose lengths are normally distributed with mean 7.5 mm and standard deviation 1.7 mm. a. What is the probability that the mean length of a sample of 39 screws exceeds 7.6 mm? Give your answer to three decimal places. QUESTION 7 1 p A company manufactures cotton and nylon fabric rolls. During the past year, 999% of the fabric rolls made are cotton fabric rolls. Of those cotton fabric rolls, 5% are defective, whereas 3% of all nylon fabric rolls are defective. If a defective fabric roll is randomly selected, what is the probability that it is a cotton fabric rolls? ( Give your answer to 3 decimals values) QUESTION 8 The time (in days) until failure of an electronic device has a gamma distribution with shape parameter 5 and mean 29. a. What is the probability the device does not fail before 49.3 days? (Round your answers to three decimal places) Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers CloQUESTION 2 Suppose that 63% of all Statistics graduates get a job within one month of their graduation. This semester, we have 17 statistics graduates. On average how many of them will find job within one month. Give your answer to 3 decimal places. QUESTION 3 A system is made of four independent components connected as shown in the figure below The probabilities that components A, B, C and D work properly are 0.84, 0.85, 0.89 and 0.77 respectively. B D Find the probability that the system works propely. Give your answer to 3 decimal palces. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All AQUESTION 14 1 point The response times of a router ( in seconds) has a gamma distribution with shape parameter 5 and scale paramter 14.3. a. What is the 90th percentile of the response time of a router? (Round your answers to two decimal places) QUESTION 15 The line width for a semiconductor manufacturing is assumed to be normally distributed with a mean of 5 micrometer and standard deviation of 2.9 micrometer. a. What is the probability that a line width is greater than 5.2 micrometer? Give your answer to 3 decimal places. QUESTION 16 On average we have 14 connections per minute to the university computer server. What is the probability of having at least three connections in the next 30 seconds? Give your answer to 4 decimal places.QUESTION 17 The survival time (in days) of a poisoned squirrel has a gamma distribution with shape parameter 3 and mean 26. a. What is the standard deviation of the survival time of a poisoned squirrel? (Round your answers to three decimal places) QUESTION 18 The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with mean of 10.1 ounces and a standard deviation of 1.5 ounces. a. If all cans less than 9 or greater than 14.2 ounces are scrapped, what proportion of cans is scrapped? Give your answer to three decimal places. QUESTION 19 Suppose that 80% of all Science graduates get a job within three months of their graduation. A random sample of 11 Science graduates of semester was chosen. What is the probability that 6 will get a job within three months of their graduation? Give your answer to 4 decimal places