Question

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.

What are the chances that a person who is murdered actually knew
the murderer? The answer to this question explains why a lot of
police detective work begins with relatives and friends of the
victim! About 68% of people who are murdered actually knew the
person who committed the murder.† Suppose that a detective file in
New Orleans has 61 current unsolved murders. Find the following
probabilities. (Round your answers to four decimal places.)

1) fewer than 30 victims did not know their murderers

2) more than 20 victims did not know their murderers

Answer #1

n = 61

p = 0.32

q = 1 - p = 0.68

This binomial distribution can be approximated as Normal
distribution since

np > 5 and nq > 5

Since we know that

a) x = 30

P(x < 30.0)=?

z = 2.8765

This implies that

P(x < 30.0) = P(z < 2.8765) = 0.998

b) x = 20

P(x > 20.0)=?

z = 0.1317

This implies that

P(x > 20.0) = P(z > 0.1317) =0.4476

Please hit thumps up if the answer helped you

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knew
the murderer? The answer to this question explains why a lot of
police detective work begins with relatives and friends of the
victim! About 63% of people who are murdered actually knew the
person who committed the murder.† Suppose that a...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knew
the murderer? The answer to this question explains why a lot of
police detective work begins with relatives and friends of the
victim! About 66% of people who are murdered actually knew the
person who committed the murder.† Suppose that a...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knew
the murderer? The answer to this question explains why a lot of
police detective work begins with relatives and friends of the
victim! About 60% of people who are murdered actually knew the
person who committed the murder.† Suppose that a...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities. What are the
chances that a person who is murdered actually knew the murderer?
The answer to this question explains why a lot of police detective
work begins with relatives and friends of the victim! About 63% of
people who are murdered actually knew the person who committed the
murder.† Suppose that a...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
What are the chances that a person who is murdered actually knew
the murderer? The answer to this question explains why a lot of
police detective work begins with relatives and friends of the
victim! About 63% of people who are murdered actually knew the
person who committed the murder.† Suppose that a...

If possible, please explain how to do using a Ti-84 calculator,
or workout all calculations.
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities. What are the
chances that a person who is murdered actually knew the murderer?
The answer to this question explains why a lot of police detective
work begins with relatives and friends of the victim! About 62% of...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Ocean fishing for billfish is very popular in the Cozumel region of
Mexico. In the Cozumel region about 41% of strikes (while trolling)
resulted in a catch. Suppose that on a given day a fleet of fishing
boats got a total of 26 strikes. Find the following probabilities.
(Round your answers to four...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
It is estimated that 3.6% of the general population will live past
their 90th birthday. In a graduating class of 731 high school
seniors, find the following probabilities. (Round your answers to
four decimal places.)
(a) 15 or more will live beyond their 90th birthday
(b) 30 or more will live beyond their...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities. Do you try to
pad an insurance claim to cover your deductible? About 38% of all
U.S. adults will try to pad their insurance claims! Suppose that
you are the director of an insurance adjustment office. Your office
has just received 140 insurance claims to be processed in the next
few days. Find...

In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
It is estimated that 3.6% of the general population will live
past their 90th birthday. In a graduating class of 738 high school
seniors, find the following probabilities. (Round your answers to
four decimal places.)
(a) 15 or more will live beyond their 90th birthday
(b) 30 or more will live beyond their...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 7 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 36 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago