"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 3

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"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 3

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"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 3

review review

Census: A comprehensive survey of inspection objects for a certain purpose is called a census;

Overall, the totality of the objects to be investigated is called the overall.

Individual Each object of investigation that makes up the population is called an individual;

Sampling survey: Select some individuals from the population for investigation, which is called sampling survey;

Sample A part of individuals drawn from the population is called a sample of the population;

Frequency: The number of times each object appears in the survey;

Frequency The ratio of the number of times each object appears to the total number of times is called frequency.

Probability The possibility of an event occurring, also known as the probability of an event occurring.

The probability of an inevitable event occurring is 1 (or 100%),

Recorded as P (necessary event) = 1;

The probability of an impossible event happening is 0,

Denoted as P(impossible event)=0;

The probability of a random event (uncertain event) occurring is between 0 and 1, that is, 0

If A is a random event (uncertain event),

Then 0

teaching objectives

knowledge and abilities

Through experiments and the experimental process of analyzing test results, collecting data, processing data, and drawing conclusions, students can experience the connection and difference between frequency and probability, and develop students' ability to estimate probability based on the central tendency of frequency.

Process and Method

When the test results of an event are not finite or the probability of the results occurring is not equal, frequency is used to estimate the probability. Through experiments, we understand that when the number of experiments is large, the test frequency stabilizes at the theoretical probability, and further develop the concept of probability.

analyze:

The survival rate of seedling transplantation is a probability in practical problems. The transplant trials in this practical problem are not of the type where all outcomes are equally likely, so survival rates need to be estimated by frequency.

Under the same conditions, transplant a large number of such seedlings, and count the survival status and calculate the frequency of survival. If the frequency becomes more and more stable at a certain constant as the number of transplanted trees n increases, then this constant can be used as an approximation of the survival rate.

The following table is a simulated statistical table. Please fill in the blanks in the table and complete the blanks after the table.

Do it

1. There are 1,000 carp, crucian carp, and silver carp in a pond. A fisherman found through multiple capture experiments that the frequency of carp and crucian carp appearing is 31% and 42%, then there are carp in this pond ______ _tail, silver carp_______ tail.

2. A factory planned to produce a pencil case for middle school students, but could not determine the output of each color. So the stationery factory randomly surveyed 5,000 middle school students on the color of the pencil case, and found 1,000, 2,000, and 3,000. The frequency of each color was calculated when the number was 1, 4000, and 5000, and the line chart was drawn as follows:

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For more information about the PPT courseware "Probability Preliminary Utilization of Frequency to Estimate Probability", please click the Preliminary Probability ppt Utilization of Frequency to Estimate Probability ppt tag.

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 5:

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 5 Review 1. Definition of probability, classification of events 2. Probability formula of equally likely events: P(A)=m/n 3. Conditions for finding the probability of equally likely events: (1) There are a finite number of all possible outcomes; (2) The possibility of each outcome..

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 4:

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 4 New Lesson Introduction Under the same conditions, in a large number of repeated experiments, if the frequency of a random event A is stable around a certain constant p, then this constant is called the probability of event A. Question (Two) Choose one of the questions): ..

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 2:

"Using Frequency to Estimate Probability" Probability Preliminary PPT Courseware 2 Review the past and learn something new. Use frequency to estimate probability. When there are many possible results of the experiment and the probability of each outcome occurring is equal, we can use the method to obtain the probability. When all possibilities of the experiment The result is not...

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