please help i need this done 100 points
PROJECT: PROBABILITY
Statisticians use their knowledge of probability and statistics to make predictions. Businesses often hire people who know how to use statistics to persuade others to buy their products. In this project, you will get a chance to experience how probability and statistics can be applied to a real-world situation.

OBJECTIVES
Collect and organize data.
Calculate probabilities based on data.
Use measures of central tendency to persuade.
Read the following summary of some concepts that were presented in this unit. After reading, follow the directions given to complete the project.

The probability of an event P(E) is equal to the number of ways the event can happen (M) over the total number of outcomes (N).

In other words, P(E) = M/N. This formula calculates unconditional probabilities. Unconditional probability is independent of any other event.

The chart below represents the high temperatures in Phoenix in June of 1999. Suppose we want to know the probability that an observation picked at random is a Thursday observation.

The above chart is understood as a universal set for June 1999, with a total count (N) of 30. Each day is a subset and has a count associated with it. The count for Thursdays is the characteristic of interest (M). We can see that this count is 5. The probability of any event P(E) = count of the characteristic of interest (M) divided by the count for the universal set (N). So, form a ratio between the number of Thursday observations and the total number of observations:

P(E) = M/N = 5/30 = 1/6 = 16.7%
Conditional Probability
In conditional probability, we are interested in probabilities under certain conditions. For example, what is the probability that an observation picked at random is on a Thursday when the temperature is between 90 and 99 degrees?

We are concerned only with temperature observations between 90 and 99 degrees. The chart shows the total count for this subset (N) is 6. The count for the characteristic of interest is the count of observations that occurred on a Thursday within the subset of observations that were between 90 and 99 degrees. Looking at the 90-99 row and the Thursday column, we see 2 hash marks (M). The conditional probability of the event P(E) = count of the characteristic of interest (M) divided by the count for the subset (N) being considered. So, form a ratio between the number of Thursday observations within the 90 to 99 degree range and the total number of observations in the 90 to 99 range:

P(E) = M/N = 2/6 = 1/3 = 33.3%
Joint Probability
Suppose we had two qualities, like day of the week and temperature, for which we wanted a probability. Let's find the probability that the day is Sunday (D) and the temperature (T) is less than 80. Look at the chart. For D, find Sunday, and for T, find temperatures less than 80. The chart tells us the number we want is 1, and the universal set is thirty, so the answer to the question is 1/30.

Your task:
Using your newspaper or another source, collect data on the high (or low) temperature and the day of the week for your city for one month. After gathering the data, complete the tasks listed below:

I. Construct a chart like the sample in the discussion. Try to have no fewer than five class intervals. "Class interval" refers to the number of categories a type of data could fall into (e.g., 70-79 degrees, 80-89 degrees, etc.).
II. Compute the probability that an observation picked at random will be a Saturday observation.

III. Repeat number two for the remaining days of the week.

IV. Use the chart in the discussion to answer these questions:

What is the probability a day in the 70s is a Monday?
Which set forms the intersection of Tuesdays in the 80s?
What is the probability an observation picked at random is both a Sunday and more than 90 degrees?
V. Construct a histogram to display the temperature frequencies for the month. (Use temperature class intervals and totals.)

VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.

Complete tasks I-VI on your own paper. Upload your document to your teacher.

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cjobluel191 cjobluel191

02-06-2023
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Answered

please help i need this done 100 points
PROJECT: PROBABILITY
Statisticians use their knowledge of probability and statistics to make predictions. Businesses often hire people who know how to use statistics to persuade others to buy their products. In this project, you will get a chance to experience how probability and statistics can be applied to a real-world situation.

OBJECTIVES
Collect and organize data.
Calculate probabilities based on data.
Use measures of central tendency to persuade.
Read the following summary of some concepts that were presented in this unit. After reading, follow the directions given to complete the project.

The probability of an event P(E) is equal to the number of ways the event can happen (M) over the total number of outcomes (N).

In other words, P(E) = M/N. This formula calculates unconditional probabilities. Unconditional probability is independent of any other event.

The chart below represents the high temperatures in Phoenix in June of 1999. Suppose we want to know the probability that an observation picked at random is a Thursday observation.

The above chart is understood as a universal set for June 1999, with a total count (N) of 30. Each day is a subset and has a count associated with it. The count for Thursdays is the characteristic of interest (M). We can see that this count is 5. The probability of any event P(E) = count of the characteristic of interest (M) divided by the count for the universal set (N). So, form a ratio between the number of Thursday observations and the total number of observations:

P(E) = M/N = 5/30 = 1/6 = 16.7%
Conditional Probability
In conditional probability, we are interested in probabilities under certain conditions. For example, what is the probability that an observation picked at random is on a Thursday when the temperature is between 90 and 99 degrees?

We are concerned only with temperature observations between 90 and 99 degrees. The chart shows the total count for this subset (N) is 6. The count for the characteristic of interest is the count of observations that occurred on a Thursday within the subset of observations that were between 90 and 99 degrees. Looking at the 90-99 row and the Thursday column, we see 2 hash marks (M). The conditional probability of the event P(E) = count of the characteristic of interest (M) divided by the count for the subset (N) being considered. So, form a ratio between the number of Thursday observations within the 90 to 99 degree range and the total number of observations in the 90 to 99 range:

P(E) = M/N = 2/6 = 1/3 = 33.3%
Joint Probability
Suppose we had two qualities, like day of the week and temperature, for which we wanted a probability. Let's find the probability that the day is Sunday (D) and the temperature (T) is less than 80. Look at the chart. For D, find Sunday, and for T, find temperatures less than 80. The chart tells us the number we want is 1, and the universal set is thirty, so the answer to the question is 1/30.

Your task:
Using your newspaper or another source, collect data on the high (or low) temperature and the day of the week for your city for one month. After gathering the data, complete the tasks listed below:

I. Construct a chart like the sample in the discussion. Try to have no fewer than five class intervals. "Class interval" refers to the number of categories a type of data could fall into (e.g., 70-79 degrees, 80-89 degrees, etc.).
II. Compute the probability that an observation picked at random will be a Saturday observation.

III. Repeat number two for the remaining days of the week.

IV. Use the chart in the discussion to answer these questions:

What is the probability a day in the 70s is a Monday?
Which set forms the intersection of Tuesdays in the 80s?
What is the probability an observation picked at random is both a Sunday and more than 90 degrees?
V. Construct a histogram to display the temperature frequencies for the month. (Use temperature class intervals and totals.)

VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.

Complete tasks I-VI on your own paper. Upload your document to your teacher.

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