Question

8. A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 13 people or 2132 lb. That capacity will be exceeded if 13 people have weights with a mean greater than 2132lb/13 = 164 lb. Assume that weights of passengers are normally distributed with a mean of 181 lb and a standard deviation of 40.9 lb. Complete parts a through c below.

Find the probability that 13 randomly selected passengers will have a mean weight that is greater than 164 lb (so that their total weight is greater than the gondola maximum capacity of 2132 lb)

(Round to four decimal places as needed.)

12. An airliner carries 250 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).

If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 72 in.

The probability is____.

(Round to four decimal places as needed.)

Answer #1

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of
187
lb and a standard deviation of
39
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.
Given that the gondola is rated for a load limit of
3500
lb, what is the maximum mean weight of 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 40 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...

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of 183
lb and a standard deviation of 40 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...

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of 183
lb 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 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...

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of
194
lb 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...

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of
193lb and a standard deviation of 41lb. The gondola has a stated
capacity of 25 passengers, and the gondola is rated for a load
limit of 3750lb. Complete parts (a) through (d) below.
a. Given that the gondola is rated for a load limit of 3750lb,
what is the maximum mean weight of the passengers if the...

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 42 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...

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 40 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...

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
37
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...

A ski gondola carries skiers to the top of a mountain. Assume
that weights of skiers are normally distributed with a mean of
198
lb and a standard deviation of
3737
lb. The gondola has a stated capacity of
25
passengers, and the gondola is rated for a load limit of
3750
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)?
The probability...

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