MATH 107NAME:_______________________
EXAM 2
Show all work for credit and keep answers exact when possible.

1. Classify the following statement as an example of classical, empirical, or subjective probability and explain your reasoning. According to your doctor he feels the chance of you surviving a surgery is 0.85.

Subjective; based upon his feelings.

2. Determine the two events described in the study. Do the results indicate that the events are independent or dependant? Researchers found that people with depression are five times more likely to have a breathing- related sleep disorder than people who are not depressed.

Depression and Breathing-related sleep disorders; Dependant

3. A horse race has 10 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first second, and third? The number of possible combinations of 3 horses winning, in any order, is

So the probability is

4. In how many distinguishable ways can the letters in the word statistics be written?

5. The table shows the results of a survey that asked 2850 people whether they are involved in any type of charity work. | Frequently| Occasionally| Not at all| Total|
Male| 221| 456| 795| 1472|
Female| 207| 430| 741| 1378|
Total| 428| 886| 1536| 2850|

A person is selected at random from the sample.

a) What is the probability the person is female or occasionally involved in charity work?

b) Are the events “being female and occasionally involved in charity work” and “being frequently involved in charity work” mutually exclusive? yes

6. A company gave psychological tests to perspective employees. The random variable x represents the possible test scores.

a) Use the histogram to find the probability that a person selected at random from the survey’s sample had a test score of more than two.

...milligrams of tar per cigarette and a standarddeviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true, what is the probability that the mean tar content of the sample is greater than 4.15 milligrams?
[0.00621]
2. The safety limit of a crane is known to be 32 tons. The mean weight and the...

...Deviation
Definition:
Behavior commonly seen in children that is the result of some obstacle to normal development such behavior may be commonly understand as negative (a timid child, a destructive child) or positive (a quite child), both positive and negative deviation will disappear once the child begins to concentrate on a piece of work freely chosen by him.
The physical deforms are easier to identify. This can be by birth due to an accident...

...I'll be honest. Standarddeviation is a more difficult concept than the others we've covered. And unless you are writing for a specialized, professional audience, you'll probably never use the words "standarddeviation" in a story. But that doesn't mean you should ignore this concept.
The standarddeviation is kind of the "mean of the mean," and often can help you find the story behind the data. To...

...StandardDeviation (continued)
L.O.: To find the mean and standarddeviation from a frequency table.
The formula for the standarddeviation of a set of data is [pic]
Recap question
A sample of 60 matchboxes gave the following results for the variable x (the number of matches in a box):
[pic].
Calculate the mean and standarddeviation for x....

...StandardDeviation
objective
• Describe standarddeviation and
it’s importance in biostatistics.
Measure of Dispersion
• Indicates how widely the scores
are dispersed around the central
point (or mean.)
-StandarddeviationStandardDeviation.
• The most commonly used method
of dispersion in oral hygiene.
• The larger the standarddeviation,
the...

...following for the variable(s) of your choice:
1. Frequency distribution of a variable and bar graph of the same variable
2. Descriptive statistics of a continuous dataset: mean, median, mode, skewness, kurtosis, standarddeviation
3. Cross tabulation of two variables
4. Comparison of the effect of three or more groups (single variable) on a single continuous...

...A survey is conducted in Chicago (population 2,800,000) using random-digit-dialing equipment which place calls at random to residential phones, both mobile and landline. The purpose of the survey is to determine the percentage of adults who would favor a half-cent increase in the sales tax to help fund public transportation. Four hundred adults are interviewed and 36% of them favor the proposal. Answer the next two questions.
1. The sample size for this...

...question: What is the impact of the new point on the standarddeviation?
The new point has made the standarddeviation to go up to over 2.07
b) Follow the instructions to create the next two graphs then answer the following question: What did you do differently to create the data set with the larger standarddeviation.
What I did differently was to have two outliners on both ends of the outline so...

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