Question

Question:

a. Suppose 1.5% of people in a large population are over 6 feet 5 inches tall. Approximately what is the chance that from a group of 300 people picked at random from this population, at least five people will be over 6 feet 5 inches tall?

b. Let X be a Poisson random variable with expected value λ = 3. Find P(X < 3 | X > 1)

Answer #1

Group A is a group of 50 people with an average height of 5 feet
6 inches and a standard deviation of 7 inches. Group B is a group
of 50 people with an average height of 5 feet 6 inches and a
standard deviation of 4 inches. From which group would you be more
likely to randomly select a person that is 6 feet tall? Explain
your answer in a couple of sentences.

1. In a class of 20 students, 13 students are exactly 5 feet 6
inches tall, whereas the rest of the class is over 5 feet 6 inches.
Andrew, who is 5 feet 10 inches tall, joins the class.
Which of the following statements is true about the mean? Explain
as well.
i Mean height of the class increases ii. Mean height of the class
stays the same iii. Mean height of the class goes down iv. Cannot
tell

The heights of a large population of college students are
approximately normally distributed with mean 5 feet 6 inches and
standard deviation 8 inches.
What fraction of the students are shorter than 6 feet 6
inches?
If there are approximately 38,000 students at the university,
approximately how many are shorter than 5 feet?
A student wants to start a club for the tallest students on
campus. They decide that membership requires that a person be in
the top 3% of...

In a hypothetical world, every 50 years people over 6 feet tall
are eliminated from the population before they reproduce. Based on
your knowledge of natural selection, you would predict that the
average height of the human population will

1.Mark is 194
1. Mark is 5 feet, 6 inches tall.
2. Use the body mass unit standard 106 for the rst 5 feet.
3. Add 6 body mass units for each inch over 5 feet.
4. Multiply this total by 13 for sedentary lifestyle.
5. This is the total number of calories that Mark should consume
for his height and weight.
How many calories should Mark consume for his body mass index
(BMI)?
What is Mark’s BMI classi cation?...

It is known that 18% of people in a certain population are blood
group A. Consider a random sample of n = 10 people from that
population and let random variable X count the number of people
that are group A. Write down the probability mass function (pmf) of
X.

In a large population, 69 % of the people have been vaccinated.
If 5 people are randomly selected, what is the probability that AT
LEAST ONE of them has been vaccinated?
Give your answer as a decimal (to at least 3 places) or
fraction.

A 6lb wieght can stretch a spring 6 inches. Suppose the weight
is pulled 4 inches past the equilibrium point and released from
rest. The initial equation is y(t)=1/3*cos(8t)+0*sin(8t) Suppose
that a damping force given in pounds numerically by 1.5 times the
instantaneous velocity in feet per second acts on the 6lb weight.
Find the position x of the weight as a funtion of time.

In a certain large population of people, the proportion that are
Rh positive (their blood has the rhesus protein) is approximately
0.82. Suppose 14 people are randomly selected from this
population.
a) What is the probability that exactly 12 are Rh positive? Give
your response to at least 3 decimal places.
b) What is the probability that more than 12 are Rh positive?
Give your response to at least 3 decimal places.
c) What is the probability that no more...

Let descrete random variable X~Poisson(6).
Find:
Probability P(X=5)
Probability P(X=2)
Probability P(X<3)
Probability P(X>6)
μX
σX

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 31 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago