A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 196 Ib and a standard deviation of 42 Ib. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 Ib, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.)
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- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to 175 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 180.7 Ib and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 130 lb. The probability is 1. (Round to four decimal places as needed.) b. The boat was later rated to carry only 15 passengers, and the load limit was changed to 2,625 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,625 lb). The probability is (Round to four decimal places as…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 41 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit 3750 . Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 Ib, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola…A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passengers (so the load limit was 10,010 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 171 lb. Complete parts a and b below. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 178.9 lb and a standard deviation of 35.8 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 143 lb. The probability is____
- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is: (Round to four decimal places as needed.)A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight…
- A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 193 Ib and a standard deviation of 37 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 134 lb, the boat was rated to carry 70 passengers (so the load limit was 9,380 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.9 lb and a standard deviation of 35.2 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 134 lb. The probability is| (Round to four decimal places as needed.)Assume the cholesterol levels of an adult can be described by a Normal model with a mean of 183 mg/dL and a standard deviation of 27. Complete parts a through e. b) What percent of adults do you expect to have cholesterol levels over 190 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 3 c) What percent of adults do you expect to have cholesterol levels between 150 and 160 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 4 d) Estimate the interquartile range of cholesterol levels. IQR=enter your response here mg/dL (Round to the nearest integer as needed.) Part 5 e) Above what value are the highest 15% of adults' cholesterol levels? enter your response here mg/dL (Round to the nearest integer as needed.)A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…