Question
In: Statistics and Probability
A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population...
A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population of all people who ride this elevator have a mean weight of 160 pounds with a standard deviation of 25 pounds. If 35 of these people board the elevator, what is the probability that their combined weight will exceed 6000 pounds? Assume that the 35 people constitute a random sample from the population.
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 160
standard deviation = 
= 25
n = 35
= 6000 / 35 = 171
=
= 160
=
/ 
n = 25 /
35 = 4.23
P(
> 171 ) = 1 - P(
< 171 )
= 1 - P[(
-
) /
< ( 171 - 160 ) / 4.23 ]
= 1 - P(z < 2.60)
Using z table,
= 1 - 0.9953
= 0.0047
orchestra answered 1 year agoRelated Solutions
Sixteen men enter an elevator which has a carrying capacity of 1164 kg. Suppose that the...
Sixteen men enter an
elevator which has a carrying capacity of 1164 kg. Suppose that the
men’s weights can be considered as independent normal random
variables with mean 70 kg and standard deviation 10 kg. Then the
probability of the carrying capacity being exceeded
is
Group of answer choices
41%
27.0%
67.4%
13.6%
7.2%
Flag this Question
Question 58 1
pts
United Airlines Flight
433 is a nonstop flight from Boston’s Logan airport to San
Francisco International Airport. An important...
Suppose that a truck has a legal load carrying capacity of 10,000 lbs. We want to...
Suppose
that a truck has a legal load carrying capacity of 10,000 lbs. We
want to load product, with an average weight of 21 lbs. and a
standard deviation of 4 lbs. onto the truck. If we have 473 of
these units, how many can we load on the truck if we only want to
have a 1% risk chance of “overloading” the truck?
a.
473
b.
472
c.
471
d.
470
e.
463
Suppose that a truck has a legal load carrying capacity of 10,000 lbs. We want to...
Suppose
that a truck has a legal load carrying capacity of 10,000 lbs. We
want to load product, with an average weight of 21 lbs. and a
standard deviation of 4 lbs. onto the truck. If we have 473 of
these units, how many can we load on the truck if we only want to
have a 1% risk chance of “overloading” the truck?
a.
473
b.
472
c.
471
d.
470
e.
463
An elevator has a placard stating that the maximum capacity is 2100 lblong dash 12 passengers....
An elevator has a placard stating that the maximum capacity is
2100 lblong dash 12 passengers. So, 12 adult male passengers can
have a mean weight of up to 2100 divided by 12 equals 175 pounds.
If the elevator is loaded with 12 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 175 lb. (Assume that weights of males are normally
distributed with a mean of 179 lb and a standard...
An elevator has a placard stating that the maximum capacity is 1872 lbs long dash 12...
An elevator has a placard stating that the maximum capacity is
1872 lbs long dash 12 passengers. So, 12 adult male passengers can
have a mean weight of up to 1872 divided by 12 equals 156 pounds.
If the elevator is loaded with 12 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 156 lb. (Assume that weights of males are normally
distributed with a mean of 161 lb and a...
An elevator has a placard stating that the maximum capacity is 1344 lblong dash8 passengers. So,...
An elevator has a placard stating that the maximum capacity is
1344 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1344 divided by 8 equals 168 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 168 lb. (Assume that weights of males are normally
distributed with a mean of 170 lb and a standard deviation...
An elevator has a placard stating that the maximum capacity is 1580 lblong dash 10 passengers....
An elevator has a placard stating that the maximum capacity is
1580 lblong dash 10 passengers. So, 10 adult male passengers can
have a mean weight of up to 1580 divided by 10 equals 158 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 158 lb. (Assume that weights of males are normally
distributed with a mean of 168 lb and a standard...
An elevator has a placard stating that the maximum capacity is 1610 lblong dash10 passengers. So,...
An elevator has a placard stating that the maximum capacity is
1610 lblong dash10 passengers. So, 10 adult male passengers can
have a mean weight of up to 1610 divided by 10 equals 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 171 lb and a standard deviation...
An elevator has a placard stating that the maximum capacity is 2310 lblong dash15 passengers. So,...
An elevator has a placard stating that the maximum capacity is
2310 lblong dash15 passengers. So, 15 adult male passengers can
have a mean weight of up to 2310 divided by 15 equals 154 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 154 lb. (Assume that weights of males are normally
distributed with a mean of 161 lb and a standard deviation...
An elevator has a placard stating that the maximum capacity is 1328 lblong dash8 passengers. So,...
An elevator has a placard stating that the maximum capacity is
1328 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1328 divided by 8 equals 166 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 166 lb. (Assume that weights of males are normally
distributed with a mean of 170 lb and a standard deviation...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Suppose Rialto is the only movie cinema in a small college town, so it is essentially...
- With VMI, members of the supply chain share planning, demand, forecasting, and inventory information.
- Large lots are desirable in supply chain coordination despite increasing holding costs.
- ***Convert the C++ to Python*** #include <iostream> using std::cout; using std::cin; using std::endl; int charClass; char...
- Make-or-Buy Decision Fremont Computer Company has been purchasing carrying cases for its portable computers at a...
- The following costs were incurred for the single product produced during the first year of operations...
- Non-constant growth model: Do=$2.00 required return on equity= 5% g= 9% n=1,2 g=7% n=3,4 g=3% n=5...
ADVERTISEMENT