Question

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 133.8-cm and a standard
deviation of 0.6-cm. For shipment, 8 steel rods are bundled
together.

Find the probability that the average length of a randomly selected
bundle of steel rods is between 133.8-cm and 134.2-cm.

*P*(133.8-cm < *M* < 134.2-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact *z*-scores or *z*-scores rounded
to 3 decimal places are accepted.

NOTE: Answers using *z*-scores rounded to 3 (or more)
decimal places will work for this problem.

The population of weights for men attending a local health club is
normally distributed with a mean of 184-lbs and a standard
deviation of 29-lbs. An elevator in the health club is limited to
34 occupants, but it will be overloaded if the total weight is in
excess of 6698-lbs.

Assume that there are 34 men in the elevator. What is the average
weight beyond which the elevator would be considered
overloaded?

average weight = lbs

What is the probability that one randomly selected male health club
member will exceed this weight?

P(one man exceeds) =

(Report answer accurate to 4 decimal places.)

If we assume that 34 male occupants in the elevator are the result
of a random selection, find the probability that the evelator will
be overloaded?

P(elevator overloaded) =

(Report answer accurate to 4 decimal places.)

If the evelator is full (on average) 5 times a day, how many times
will the evelator be overloaded in one (non-leap) year?

number of times overloaded =

(Report answer rounded to the nearest whole number.)

Answer #1

The population of weights for men attending a local health club
is normally distributed with a mean of 170-lbs and a standard
deviation of 29-lbs. An elevator in the health club is limited to
32 occupants, but it will be overloaded if the total weight is in
excess of 5952-lbs.
Assume that there are 32 men in the elevator. What is the average
weight beyond which the elevator would be considered
overloaded?
average weight = lbs
What is the probability that...

The population of weights for men attending a local health club
is normally distributed with a mean of 174-lbs and a standard
deviation of 28-lbs. An elevator in the health club is limited to
33 occupants, but it will be overloaded if the total weight is in
excess of 6204-lbs. Assume that there are 33 men in the elevator.
What is the average weight beyond which the elevator would be
considered overloaded? average weight = lbs What is the probability...

NOTE: Answers using z-scores rounded to 3 (or more)
decimal places will work for this problem.
The population of weights for men attending a local health club is
normally distributed with a mean of 180-lbs and a standard
deviation of 29-lbs. An elevator in the health club is limited to
35 occupants, but it will be overloaded if the total weight is in
excess of 6825-lbs.
Assume that there are 35 men in the elevator. What is the average
weight...

The population of weights for men attending a local health club
is normally distributed with a mean of 184-lbs and a standard
deviation of 27-lbs. An elevator in the health club is limited to
35 occupants, but it will be overloaded if the total weight is in
excess of 6965-lbs. Assume that there are 35 men in the elevator.
What is the average weight of the 35 men beyond which the elevator
would be considered overloaded? average weight = lbs...

NOTE: Answers using z-scores rounded to 3 (or more) decimal
places will work for this problem. The population of weights for
men attending a local health club is normally distributed with a
mean of 174-lbs and a standard deviation of 31-lbs. An elevator in
the health club is limited to 34 occupants, but it will be
overloaded if the total weight is in excess of 6460-lbs. Assume
that there are 34 men in the elevator. What is the average weight...

NOTE: Answers using z-scores rounded to 3 (or more)
decimal places will work for this problem.
The population of weights for men attending a local health club is
normally distributed with a mean of 167-lbs and a standard
deviation of 26-lbs. An elevator in the health club is limited to
33 occupants, but it will be overloaded if the total weight is in
excess of 5841-lbs.
Assume that there are 33 men in the elevator. What is the average
weight...

NOTE: Answers using z-scores rounded to 2 (or more) decimal
places will work for this problem. The population of weights for
men attending a local health club is normally distributed with a
mean of 171-lbs and a standard deviation of 31-lbs. An elevator in
the health club is limited to 35 occupants, but it will be
overloaded if the total weight is in excess of 6510-lbs. Assume
that there are 35 men in the elevator. What is the average weight...

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 237.4-cm and a standard
deviation of 1.6-cm. For shipment, 6 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is between 237.5-cm and 239.1-cm.
P(237.5-cm < M < 239.1-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to 3...

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 179-cm and a standard deviation
of 2.4-cm. For shipment, 12 steel rods are bundled together.
Find the probability that the average length of a randomly selected
bundle of steel rods is less than 177.8-cm.
P(M < 177.8-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are...

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 246.7-cm and a standard
deviation of 0.8-cm. For shipment, 23 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is greater than 246.6-cm.
P(M > 246.6-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are...

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