A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers...
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 195 lb and a standard deviation of 35 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.
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)?
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 maximum mean weight that does not cause the total load to exceed 3750 lb?
D. Is the new capacity of 20 passengers safe?
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A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers...
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers...
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 201 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 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...
A ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears...
A ski gondola in Vail, Colorado, carries skiers to the top of a
mountain. It bears a plaque stating that the maximum capacity is 12
people or 2004 lb. That capacity will be exceeded if 12 people have
weights with a mean greater than 2004/12, approximately 167 lb.
Because men tend to weigh more than women, a worst-case scenario
involves 12 passengers who are all men. Assume that weights of men
are normally distributed with a mean of 182.9 lb...
6.4.5-T Question Help Assume that females have pulse rates that are normally distributed with a mean...
6.4.5-T Question Help Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is (Round to four decimal places as needed.) 6.4.6-T Question Help The overhead reach distances of...
Ski Gondola find the probability
2. A ski gondola in Vail, CO, carries skiers to the top of a mountain. It bears a plaque stating the maximum capacity is 12 people of 2004 pounds. That capacitywill be exceeded if 12 people have weights with a mean greater than 2004/12 = 167 pounds. Because men tend to weigh more than women, a “worse case” scenarioinvolves 12 passengers who are all men. Men have weights that are normally distributed with a mean of 172 pounds with a...
women have head circumferences that are normally distributed with a mean given by u-21.78 in, and...
women have head circumferences that are normally distributed with a mean given by u-21.78 in, and a standard deviation given by ơ:06 in. Complete parts a through c below a. If a hat company produces women's hats so that they fit head circumferences between 21.3 in. and 22.3 in, what is the probability that a randomly selected woman will be able to fit into one of these hats? The probability is Round to four decimal places as needed) The weights...
An elevator has a placard stating that the maximum capacity is 2550 lb —15 passengers. So,15...
An elevator has a placard stating that the maximum capacity is 2550 lb —15 passengers. So,15 adult male passengers can have a mean weight of up to 2550/15=170 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 170 lb. (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb.) Does this elevator...
An elevator has a placard stating that the maximum capacity is 1670 1610 passengers.
An elevator has a placard stating that the maximum capacity is 1670 1610 passengers. So, 10 adult male passengers can have a mean weight of up to 1670/10 = 167 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 167 lb. (Assume that weights of males are normally distributed with a mean of 169 lb and a standard deviation of 33 lb.) Does...
An elevator has a placard stating that the maximum capacity is 1360 lb-8 passengers.
An elevator has a placard stating that the maximum capacity is 1360 lb-8 passengers. So, 8 adult male passengers can have a mean weight of up to 1360/8 170 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 170 lb. (Assume that weights of males are normally distributed with a mean of 175 lb and a standard deviation of 30 Ib.) Does this...
An elevator has a placard stating that the maximum capacity is 1550 lb — 10 passengers....
An elevator has a placard stating that the maximum capacity is 1550 lb — 10 passengers. So, 10 adult male passengers can have a mean weight of up to 1550 divided by 10 equals 155 pounds.1550/10=155 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 155 lb. (Assume that weights of males are normally distributed with a mean of 164 lb and a...
An elevator has a placard stating that the maximum capacity is 2295 lb-15 passengers so 15...
An
elevator has a placard stating that the maximum capacity is 2295
lb-15 passengers so 15 adult male passengers get have a mean way up
up to 2295÷15 = 153 pounds in the elevator is loaded with 15 adult
male passengers find the probability that it is overloaded because
they have a mean way greater than 153 pounds (assume that weight of
males are normally distributed with a mean of 161 pounds and a
standard deviation of 34 pounds )does...
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 201 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 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...
A ski gondola in Vail, Colorado, carries skiers to the top of a
mountain. It bears a plaque stating that the maximum capacity is 12
people or 2004 lb. That capacity will be exceeded if 12 people have
weights with a mean greater than 2004/12, approximately 167 lb.
Because men tend to weigh more than women, a worst-case scenario
involves 12 passengers who are all men. Assume that weights of men
are normally distributed with a mean of 182.9 lb...
6.4.5-T Question Help Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is (Round to four decimal places as needed.) 6.4.6-T Question Help The overhead reach distances of...
women have head circumferences that are normally distributed with a mean given by u-21.78 in, and a standard deviation given by ơ:06 in. Complete parts a through c below a. If a hat company produces women's hats so that they fit head circumferences between 21.3 in. and 22.3 in, what is the probability that a randomly selected woman will be able to fit into one of these hats? The probability is Round to four decimal places as needed) The weights...
An
elevator has a placard stating that the maximum capacity is 2295
lb-15 passengers so 15 adult male passengers get have a mean way up
up to 2295÷15 = 153 pounds in the elevator is loaded with 15 adult
male passengers find the probability that it is overloaded because
they have a mean way greater than 153 pounds (assume that weight of
males are normally distributed with a mean of 161 pounds and a
standard deviation of 34 pounds )does...
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