Good Morning I have some questions needing answers, please.

1.) Part 1? ( a,b, & c?)

Fish story: According to a report by the U.S. Fish and Wildlife Service, the mean length of sixyearold rainbow trout in the Arolik River in Alaska is 47'? millimeters with a standard deviation of 39 millimeters. Assume these lengths are normally distributed. (a) 1what proporb'on of sixyearold rainbow trout are less than 458 millimeters long? (b) What proportion of sixyearold rainbow b'out are between 415 and 516 millimeters long? (c) Is it unusual for a sixyearold rainbow trout to be less than 378 millimeters long? Round the answers to at least four decimal places. The proportion of sixyearold rainbow trout less than 458 millimeters long is D. Fish story: According to a report by the U.S. Fish and Wildlife Service, the mean length of sixyearold rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally dishibuted. Round the answers to at least two decimal places. (a) Find the S'Tth percentile of the lengths. {b} Find the 36111 percentile of the lengths. (c) Find the rst quartile of the lengths. {d} A size limit is to be put on trout that are caught. What should the size limit be so that 15 % of sixyearold trout have lengths shorter than the limit? Find the 57m percentile of the lengths. The 57'H1 percentile of the lengths is D . Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean it = 113 inches and standard deviation 6 = 16 inches. Use the 1184 PLUS calculator to answer the following. Round me answers to at least four decimal places. (a) 1What proporb'on of trees are more than 124 inches tall? (b} What proportion of trees are less than 98 inches tall? (c) What is the probability that a randomly chosen tee is between 90 and 100 inches tall? What proporb'on of trees are more than 124 inches tall? The proportion of trees that are more than 124 inches tall is D . Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean u = 39 and standard deviation o = 6. Use the TI-84 Plus calculator to answer the following. (a) Find the 19th percentile of the tire lifetimes. (b) Find the 71st percentile of the tire lifetimes. (c) Find the first quartile of the tire lifetimes. (d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 2% of the tires violate the guarantee? Round the answers to at least two decimal places. Part 1 of 4 The 19th percentile of the tire lifetimes is thousand miles . Part 2 of 4 The 71st percentile of the tire lifetimes is thousand miles. Part 3 of 4 The first quartile of the tire lifetimes is thousand miles. Part 4 of 4 The company should guarantee thousand miles.Exam gradt: Scores on a statistics nal in a large class were normally distributed with a mean of 76 and a standard deviation of 11. Use the TI84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 25th percentile of the scores. {b} nd the 63rd percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 11% of the class. What is the minimum score needed to get an A? {[1} Between what two values are the middle 50% of the scores? {Enter the smaller number in the rst box.) Find the 25\"1 percentile of the scores. The 25:11 percentile of the scores is D . A population has mean u. = 35 and standard deviation (I = 20. Find p; and o} for samples of size n = 100. Round your answers to one decimal place if needed. A sample of size 43 will be drawn from a population with mean 5] and standard deviation 9. Use the TI84 Plus calculator: (a) Is it appropriate to use the normal distribution to nd probabilities for E? (b) Find the probability that E will be between 52 and 53. Round the answer to at least four decimal places. th {c} Find the 45 percentile of 1:. Round the answer to at least two decimal places. Q It is appropriate to use the normal distribution to find probabilities for E. The probability that E will be between 52 and 53 is D. The 45th percentile of; is D. Q It is not appropriate to use the normal distribution to find probabilities for E. TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24. Assume the standard deviation is 1.3. A sample of 90 households is drawn. (a) 1What is the probability that the sample mean number of TV sets is greater than 2? Round 1your answer to at least four decimal places. The probability mat the sample mean number of TV sets is greater than 2 is E] . Roller master ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Heallh Statistics Reports, the weights of adult U.S. men have mean 195 pounds and standard deviation 69 pounds, and the weights of adult U.S. women have mean 165 pounds and standard deviation T8 pounds. Use the TI34 Plus calculator. (a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight? The average weight is D pounds. {b} If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60 adult men ride the coaster, the probability that the maximum safe weight will be exceeded is D. (c) If a random sample of 60 adult women ride the coaster, what is the probability lhat the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60 adult women ride the coaster, the probability that the maximum safe weight will be exceeded is D . Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 199, with a standard deviation of 39.8 (the units are milligrams per deciliter}. A simple random sample of 1Wr adults is chosen. Use the "Fl84 calculator. Round the answers to four decimal places. What is the probability that the sample mean cholesterol level is greater than 20?? The probability that the sample mean cholesterol level is greater than 207 is D. What is the probability that the sample mean cholesterol level is between 187 and 193? The probability that the sample mean cholesterol level is between 187 and 193 is D. Would it be unusual for the sample mean to be less than 194? It be unusual for the sample mean to be less than 194, since the - probability is D