Question

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 150 lb, the boat was rated to carry 50 passengers (so the load limit was 7 comma 500 lb). After the boat sank, the assumed mean weight for similar boats was changed from 150 lb to 174 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 normally distributed with a mean of 177.2 lb and a standard deviation of 36.6 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 150 lb.

Answer #1

Given:

Mean = = 177.2

Standard deviation = = 36.6

Let X be the weights of people are normally distributed with a mean of 177.2 lb and a standard deviation of 36.6 .

X ~ Normal(=177.2, =36.6)

The probability that the boat is overloaded because the 50 passengers have a mean weight greater than 150 lb :

Therefore the required probability is 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 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...

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...

A boat capsized and sank in a lake. Based on an assumption of
mean weight of 146146 lb, the boat was rated to carry 5050
passengers (so the load limit was 7 comma 3007,300 lb). After the
boat sank, the assumed mean weight for similar boats was changed
from146146 lb to170170 lb. Complete parts a and b below.
a. Assume that a similar boat is loaded with 5050 passengers,
and assume that the weights of people are normally distributed with...

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 50 passengers
(so the load limit was 7 comma 300 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 146 lb to
172 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...

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...

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...

Before every flight, the pilot must verify that the total
weight of the load is less than the maximum allowable load for the
aircraft. The aircraft can carry 38 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6 comma
080 lb. The pilot sees that the plane is full and all passengers
are men. The aircraft will be overloaded if the mean weight of the
passengers is greater than StartFraction 6 comma...

Before every flight, the pilot must verify that the total
weight of the load is less than the maximum allowable load for the
aircraft. The aircraft can carry 40 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6 comma
520 lb. The pilot sees that the plane is full and all passengers
are men. The aircraft will be overloaded if the mean weight of the
passengers is greater than StartFraction 6 comma...

Before every flight, the pilot must verify that the total
weight of the load is less than the maximum allowable load for the
aircraft. The aircraft can carry 42 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6,804
lb. The pilot sees that the plane is full and all passengers are
men. The aircraft will be overloaded if the mean weight of the
passengers is greater than 6,804 /42 equals 162 lb....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 minutes ago

asked 34 minutes ago

asked 45 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago