Question

1. The weights of a certain brand of candies are normally distributed with a mean weight of 0.8542 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 454 candies, and the package label stated that the net weight is 387.3 g. (If every package has 454 candies, the mean weight of the candies must exceed 387.3 Over 454= 0.8531 g for the net contents to weigh at least 387.3 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8531 g. The probability is...(Round to four decimal places as needed.)

2. An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pilots has normally distributed weights with a mean of 139 lb and a standard deviation of 33.8 lb. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 171 lb. The probability is approximately...(Round to four decimal places as needed.)

3. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 139 lb, the boat was rated to carry 70 passengers (so the load limit was 9,730 lb). After the boat sank, the assumed mean weight for similar boats was changed from 139 lb to 170 lb. Complete parts a and b below. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 174.2 lb and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 139 lb. The probability is.. (Round to four decimal places as needed.)

4. An airliner carries 150 passengers and has doors with a height of 76 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).

a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.

The probability is..(Round to four decimal places as needed.)

please answer the 4 questions.

Answer #1

The weights of a certain brand of candies are normally
distributed with a mean weight of 0.8585 g and a standard deviation
of 0.0523 g. A sample of these candies came from a package
containing 467 candies, and the package label stated that the net
weight is 398.8 g. (If every package has 467 candies, the mean
weight of the candies must exceed 398.8/467=0.8539 g for the net
contents to weigh at least 398.8 g.
a.) If 1 candy is...

The weights of a certain brand of candies are normally
distributed with a a mean weight of 0.8554 g and a standard
deviation of.0511 g for the. A sample of these candies came from a
package containing 459 candies and the package label stated that
the net weight is 392.1 g If every package has 459 candies the mean
weight of the candies must exceed 392.1/459= 0.8543 for the net
contents to weigh at least 392.1 g
a. if 1...

A boat capsized and sank in a lake. Based on an assumption of a
mean weight of
143
lb, the boat was rated to carry
70
passengers (so the load limit was
10,010
lb). After the boat sank, the assumed mean weight for similar
boats was changed from
143
lb to
174
lb. Complete parts a and b below.
a. Assume that a similar boat is loaded with
70
passengers, and assume that the weights of people are normally
distributed...

A boat capsized and sank in a lake. Based on an assumption of a
mean weight of 146 lb, the boat was rated to carry 70 passengers
(so the load limit was 10,220 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 146 lb to
170 lb. Complete parts a and b below. a. Assume that a similar boat
is loaded with 70 passengers, and assume that the weights of
people are normally distributed...

11. A boat capsized and sank in a lake. Based on an assumption
of a mean weight of 147 lb, the boat was rated to carry 70
passengers (so the load limit was 10,290 lb). After the boat
sank, the assumed mean weight for similar boats was changed from
147 lb to 174 lb. Complete parts a and b below
a. Assume that a similar boat is loaded with 70
passengers, and assume that the weights of people are normally...

A boat capsized and sank in a lake. Based on an assumption of a
mean weight of 141 lb, the boat was rated to carry 50 passengers
(so the load limit was 7 comma 050 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 141 lb to
173 lb. Complete parts a and b below. a. Assume that a similar boat
is loaded with 50 passengers, and assume that the weights of
people are...

PLEASE MAKE SURE TO ANSWER ALL 3 QUESTIONS!!!
1. The overhead reach distances of adult females are normally
distributed with a mean of
205 cm and a standard deviation of 8 cm. a. Find the probability
that an individual distance is greater than 217cm .502 cm 17.50
cm.
b. Find the probability that the mean for 20 randomly selected
distances is greater than 203.50 cm.
c. Why can the normal distribution be used in part (b), even
though the sample...

9. Women have pulse rates that are normally distributed with a
mean of 73.3 beats per minute and a standard deviation of 11.3
beats per minute. Complete parts a through c below.
a. Find the percentiles 1P1 and P99.
P1=_____ beats per minute
(Round to one decimal place as needed.)
10. An engineer is going to redesign an ejection seat for an
airplane. The seat was designed for pilots weighing between 150 lb
and 191 lb. The new population of...

An engineer is going to redesign an ejection seat for an
airplane. The seat was designed for pilots weighing between 130 lb
and 181 lb. The new population of pilots has normally distributed
weights with a mean of 139 lb and a standard deviation of 30.3 lb.
a. If a pilot is randomly selected, find the probability that his
weight is between 130 lb and 181 lb. The probability is
approximately . 5339. (Round to four decimal places as needed.)...

An engineer is going to redesign an ejection seat for an
airplane. The seat was designed for pilots weighing between 130 lb
and 171 lb. The new population of pilots has normally distributed
weights with a mean of 138 lb and a standard deviation of 34.8
lb.
a. If a pilot is randomly selected, find the probability
that his weight is between 130 lb and 171 lb.
The probability is approximately________.
(Round to four decimal places as needed.)
b....

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