Question

3. Suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500 lb. Assume that weights of women are normally distributed with a mean of 143 lbs and a standard deviation of 29 lbs.

a. Find the probability that 1 randomly selected woman has a weight greater than 156.25 lb.

b. Find the probability that a sample of 16 women have a mean weight greater than 156.25 lb (which puts the total weight at 2500 lb, exceeding the maximum capacity).

Answer #1

An elevator has a placard stating that the maximum capacity is
1376 —8 passengers.
So, 8 adult male passengers can have a mean weight of up to
1376/8=172 lb.
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 172 lbs.
(Assume that weights of males are normally distributed with a
mean of 174 lb and a standard deviation of 28 lb.)
Does this elevator...

An elevator has a placard stating that the maximum capacity is
1610 lb—10 passengers. So, 10 adult male passengers can have a
mean weight of up to 1610 divided by 10 equals 161
pounds.1610/10=161 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 161 lb. (Assume that
weights of males are normally distributed with a mean of 164 lb and
a standard deviation...

An elevator has a placard stating that the maximum capacity is
1280 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1280 divided by 8 equals 160 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 160 lb. (Assume that weights of males are normally
distributed with a mean of 162 lb and a standard deviation...

An elevator has a placard stating that the maximum capacity is
1392 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1392 divided by 8 equals 174 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 174 lb. (Assume that weights of males are normally
distributed with a mean of 178 lb and a standard deviation...

An elevator has a placard stating that the maximum capacity is
1200 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1200 divided by 8 equals 150 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 150 lb. (Assume that weights of males are normally
distributed with a mean of 160 lb and a standard deviation...

An elevator has a placard stating that the maximum capacity
is
1240 lb —88 passengers. So,
88 adult male passengers can have a mean weight of up to
1240 divided by 8 equals 155 pounds.1240/8=155 pounds.
If the elevator is loaded with
88
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 lb164 lb
and a...

The elevator in the car rental building at San Francisco
International Airport has a placard stating that the maximum
capacity is ``4,000 lbs---27 passengers.'' Because 4000/27=148,
this converts to a mean passenger weight of 148 lbs when the
elevator is full. We will assume a worst-case scenario in which the
elevator is filled with 27 adult males. Assume that adult males
have weights that are normally distributed with a mean of 189 lbs
and a standard deviation of 39 lbs....

An elevator has a placard stating that the max capacity is
2028lb- 12 passengers. So, 12 adult males passengers can have mean
weight up to 169lbs. If the elevator is loaded with 12 adult males,
find the probability that it is overloaded because they have a mean
weight greater than 169lb. Assume weight of males normally
distributed with a mean of 175lb and standard deviation of 27lb.
Does this elevator appear to be safe? How can I solve this using...

5. The capacity of an elevator is 10 people or 1660 pounds. The
capacity will be exceeded if 10 people have weights with a mean
greater than 1660/10=166 pounds. Suppose the people have weights
that are normally distributed with a mean of 176 lb and a standard
deviation of 30 lb.
a. Find the probability that if a person is randomly selected,
his weight will be greater than 166 pounds. The probability is
approximately________(Round to four decimal places as needed.)...

The capacity of an elevator is
1212
people or
19801980
pounds. The capacity will be exceeded if
1212
people have weights with a mean greater than
1980 divided by 12 equals 165 pounds.1980/12=165 pounds.
Suppose the people have weights that are normally distributed
with a mean of
168 lb168 lb
and a standard deviation of
31 lb31 lb.
a. Find the probability that if a person is randomly selected,
his weight will be greater than
165165
pounds.The probability is approximately...

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