The weight in tons of the iron stone lled in a railcar is a random variable with expectation 8 and standard deviation 0.4. What is the probability that the total cargo weight in a train with 35 cars lled with iron stone exceed 300 tons.?
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- The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a standard deviation of 3.4 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.) US 12:44 hp DII -> & $ @ 7 8 3. 4 5 i y r W k d m V .. ..A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 2.7 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
- An improved battery is being developed by a start-up company, which will be sent to the smartphones manufacturer. Suppose that the charging time for the old battery is normally distributed with a mean on 45 minutes, while the charging time for the new battery is normally distributed with a mean of 30 minutes. Given the standard deviation of the old battery is 20 minutes and the new battery is 30 minutes, respectively. Twenty random samples of both batteries were tested. Find the probability of sample of the new battery is better than the old one.A factory's worker productivity is normally distributed. One worker produces an average of 73 units per day with a standard deviation of 19. Another worker produces at an average rate of 66 units per day with a standard deviation of 20. A. What is the probability that in a single day worker 1 will outproduce worker 2? Probability= B. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2? Probability =An electrical appliance made by company A has an average life of 2500 hours, with a standard deviation of 500 hours. Another company B makes this appliance with an average life of 2300 hours, and a standard deviation of 800 hours. We take 300 devices from company A and 200 devices from company B. Calculate the probability that the average life of the sample from company A is 100 hours less than the average life of the sample from company B. O None of the other options O 0.0582 0.4418 O 0.9418
- The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who don't. In fact, she claims that the average tip for the former group is 17% while that of the latter is only 12%. If tips are normally distributed with a standard deviation of 9%. what is the probability that in a random sample of 13 tips recorded from waiters and waitresses who introduce themselves and 13 tips from waiters and waitresses who don't, the mean of the former will exceed that of the latter? Probability =The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)A newborn baby is classified as having Extremely Low Birth Weight (ELBW) if it weighs less than 1000 grams (g). The average weight of children with ELBW is N.d. with mean 815g and standard deviation 100g. What is the probability that an SRS of 45 children with ELBW weighs less than 810?
- Each of the batteries in a collection of 40 batteries is equally likely to be either a type A or a type B battery. Type A batteries last for an amount of time that has mean 50 and standard deviation 15; type B batteries last for an amount of time that has mean 30 and standard deviation 6. (a) Approximate the probability that the total life of all 40 batteries exceeds 1700. (b) Suppose it is known that 20 of the batteries are type A and 20 are type B. Now approximate the probability that the total life of all 40 batteries exceeds 1700.The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 2.8 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. USE SALT (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) 0.5432 (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)The 3-point shooter star of your favourite team usually attempts six 3-point shots in a basketball game. The team record shows that the shooter makes 25% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?
