Question

19. Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

The probability that a randomly selected number from 1 to 400 is divisible by 6 is 0.165.

This is an example of ___ probability since ____.

18.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

According to a​ survey, the probability that an adult chosen at random is in favor of a tax cut is about 0.49

This is an example of ___ ​probability, since ___.

17.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

An analyst feels that a certain​ stock's probability of increasing in price over the next week is 0.66

This is an example of ___ ​probability, since___

16.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

The probability of choosing 6 numbers from 1 to 58 that match the 6 numbers drawn by a certain lottery is 1/40,475358 ≈0.00000002

This is an example of ___ ​probability, since ___

15.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

According to company​ records, the probability that a washing machine will need repairs during a ten​-year period is 0.09.

This is an example of ___ ​probability, since____

Answer 1

19) This is an example of Classical Probability, Since classical probability is based on equal chances of something. In the given example they used the word 'Random' here the word random means equal chance.

18) This is an example of Empirical Probability, since in the given example 'the probability that an adult chosen at random is in favor of a tax cut is about 0.49' this value is coming from the result of the survey. so the empirial probabilty is based on the result of the data collected.

17) This is an example of Subjective Probability. Since in the given example 'An analyst feels that a certain​ stock's probability of increasing in price over the next week is 0.66' here the analyst gives his/her personal experience only.Subjective Probability is based on the own experience or Personal judgement.

16) This is an example of Empirical Probability, Since 1/40,475358 ≈0.00000002 this value is coming from the definition of Empirical Probability i.e., \frac{number of outcomes}{Total number of outcomes}.

15) This is an example of Empirical Probability, Since According to company​ records, the probability that a washing machine will need repairs during a ten​-year period is 0.09. The value of this probabilty is coming from the companies past records.Empirical Probability is based on past records also.