Question

Create your own application that would be appropriate for the use of a normal distribution probability analysis to find a probability. Create your own example of a problem that would require you to find the probability with a normal distribution. Describe how you would go about completing the analysis of this problem. Identify the appropriate steps and underlying assumptions of this analysis (cite the textbook as appropriate). Pose a research question that will allow you to work through the example.

Answer #1

The Normal Probability Distribution In §6.2 we are introduced to
the Normal Probability Distribution and the special case of the
Normal Probability Distribution, the Standard Normal Probability
Distribution, which is a Normal Probability Distribution with mean
(u) zero and variance (σ2) one (and standard deviation of
1). What is a z score?
2. What is the purpose of a z score?
3. If a z score were -3, where on the graph would it be? Is this
a rare or...

Part I: Normal Probability Distribution and Inverse Normal
Probability
You will use Minitab or Excel to answer the following questions. No
hand computation. Minitab users: You can learn about the options
inside the dialogue box of Normal Distribution by calc >
probability distributions > Cumulative Probability > A single
value for form of input > Choose Normal for Distribution >
Enter Value and parameters > Display a table of cumulative
probabilities > OK
Use the ? button in the dialogue...

Create your own original problem where you can use the
permutation formula to find the number of ways to arrange some
items out of a larger group.
i. In 2-3 sentences, write a description of the problem,
including the number of items altogether and the number of items
that need to be arranged.
ii. Show how to use the permutation formula to solve the
problem. Show all steps necessary to find the answer.
iii. Write a sentence to explain the...

Draw a normal probability distribution that would allow you to
determine the likelihood of a measure falling within -3SD, -2SD and
-1SD from the mean. Determine the likelihoods of each of the SD’s
on the other side of the mean as well?

Part 1: Use the following steps to create a standard normal in
StatKey and answer the following questions about the variable
Z.
Go to http://www.lock5stat.com/StatKey/
Click on Normal (This is located in the theoretical
distributions section)
Notice in the right hand corner StatKey has a mean of 0 and
standard deviation of 1 as default
Notice in the left hand corner are the usual left, right and 2
tail options these will be helpful in the problems below
For each...

Use the appropriate normal distribution to approximate the
resulting binomial distribution.
A basketball player has a 75% chance of making a free throw.
(Assume that the throws are independent of each other.) What is the
probability of her making 100 or more free throws in 112 trials?
(Round your answer to four decimal places.)
You may need to use the appropriate table in the Appendix of Tables
to answer this question.

Use the appropriate normal distribution to approximate the
resulting binomial distribution.
A marksman's chance of hitting a target with each of his shots
is 65%. (Assume the shots are independent of each other.) If he
fires 40 shots, what is the probability of his hitting the target
in each of the following situations? (Round your answers to four
decimal places.)
(a) at least 29 times
(b) fewer than 21 times
(c) between 23 and 29 times, inclusive
You may need...

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...

1.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.
More than a decade ago, high levels of lead in the blood put 86% of
children at risk. A concerted effort was made to remove lead from
the environment. Now, suppose only 8% of children in the United
States are at risk of high blood-lead levels.
(a) In a random sample of 216...

Please use a normal distribution X with mean =30 and standard
deviation = 5 (your example) as an example to calculate:
1. P(25<X<35)
2. P(X>50)
3. Find a if (X<a)=0.35
Also, can you think about a reason why the probability in 2.
above is useful?

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