Classify the statement as an example of classical probability, empirical probability, or subjective probability. In California's
1 answer:
Using probability concepts, it is found that the probability is subjective.
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- A classical probability is given by <u>the number of desired outcomes divided by the number of total outcomes</u>, considering no prior results of the experiments.
- An empirical probability is similar to the classical, considering prior results of experiments.
- The subjective probability involves personal beliefs along the calculations.
In this problem:
- There are 900 3-digit number, thus, the classical probability of winning is:
- The given probability is not the classical, and also does not involve previous trials, so it is subjective.
A similar problem is given at brainly.com/question/16101256
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Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277