Question

The weights of a certain dog breed are approximately normally
distributed with a mean of 53 pounds, and a standard deviation of
5.9 pounds. Answer the following questions. Write your answers in
*percent* form. Round your answers to the nearest tenth of a
percent.

a) Find the percentage of dogs of this breed that weigh less than
53 pounds. %

b) Find the percentage of dogs of this breed that weigh less than
49 pounds. %

c) Find the percentage of dogs of this breed that weigh more than
49 pounds. %

Answer #1

Solution :

Given that,

mean = = 53

standard deviation = = 5.9

P(X<53 ) = P[(X- ) / < (53-53) /5.9 ]

= P(z < 0)

Using z table

= 0.500

=50%

B.

P(X<49 ) = P[(X- ) / < (49-53) /5.9 ]

= P(z < -0.68)

Using z table

= 0.2483

=24.83%

C.

P(X>49 ) =1 - P[(X- ) / < (49-53) /5.9 ]

= P(z < -0.68)

Using z table

= 1 - 0.2483

=0.7517

=75.17%

The weights of a certain dog breed are approximately normally
distributed with a mean of 50 pounds, and a standard deviation of
6.6 pounds. Use your graphing calculator to answer the following
questions. Write your answers in percent form. Round your answers
to the nearest tenth of a percent.
a) Find the percentage of dogs of this breed that weigh less
than 50 pounds. ______ %
b) Find the percentage of dogs of this breed that weigh less
than 47...

1. The weights of a certain dog breed are approximately normally
distributed with a mean of ? = 46 pounds, and a standard deviation
of ? = 7 pounds.
A) A dog of this breed weighs 51 pounds. What is the dog's
z-score? Round your answer to the nearest hundredth as needed. z
=
B) A dog has a z-score of -0.8. What is the dog's weight? Round
your answer to the nearest tenth as needed. ____ pounds
C) A...

The weights of the residents of a certain community in Kentucky
are normally distributed with a mean of 150.87 pounds and a
standard deviation of 17.68 pounds. What percentage of the
residents of this community have weights that are within 1.36
standard deviations of the mean? (Round to the nearest tenth of a
percent

The weights of male basketball players on a certain college are
normally distributed with a mean of 180 pounds and a standard
deviation of 26 pounds. If a player is selected at random, find the
probability that:
a. The player will weigh more than 225 pounds
b. The player will weigh less than 225 pounds
c. The player will weigh between 180 and 225 pounds

The weights for newborn babies is approximately normally
distributed with a mean of 5.4 pounds and a standard deviation of
1.6 pounds.
Consider a group of 1100 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 7 pounds?
3. How many would you expect to weigh more than 6 pounds?
4. How many would you expect to weigh between 5.4 and 9
pounds?
HINT:...

The weights for newborn babies is approximately normally
distributed with a mean of 6 pounds and a standard deviation of 1.7
pounds. Consider a group of 900 newborn babies: 1. How many would
you expect to weigh between 5 and 9 pounds? 2. How many would you
expect to weigh less than 8 pounds? 3. How many would you expect to
weigh more than 7 pounds? 4. How many would you expect to weigh
between 6 and 10 pounds?

In a certain population, body weights are normally distributed
with a mean of 152 pounds and a standard deviation of 26 pounds.
How many people must be surveyed if we want to estimate the
percentage who weigh more than 180 pounds? assume that we want 96%
confidence that the error is no more than 2.5 percentage points

Suppose it is known that the weights of a certain group of
individuals are approximately normally distributed with a mean of
140 pounds and a standard deviation of 25 pounds. What is the
probability that a person picked at random from this group will
weigh between 100 and 170 pounds?

Suppose that the weights of professional baseball players are
approximately normally distributed, with a mean of 207 pounds and
standard deviation of 24 pounds. a. What proportion of players
weigh between 200 and 250 pounds? b. What is the probability that
the mean weight of a team of 25 players will be more than 215
pounds?

Suppose that the weights of professional baseball players are
approximately normally distributed, with a mean of 207 pounds and
standard deviation of 24 pounds.
What proportion of players weigh between 200 and 250
pounds?
What is the probability that the mean weight of a team of 25
players will be more than 215 pounds?
Could you please explain too?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 23 minutes ago

asked 28 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 45 minutes ago

asked 48 minutes ago

asked 52 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago