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In each of the following cases, indicate whether classical, empirical, or subjec

ID: 3201057 • Letter: I

Question

In each of the following cases, indicate whether classical, empirical, or subjective probability is used. A baseball player gets a hit in 30 out of 100 times at bat. The probability is .3 that he gets a hit in his next at bat. A seven-member committee of students is formed to study environmental issues. What is the likelihood that any one of the seven is randomly chosen as the spokesperson? You purchase 1 of 5 million tickets sold for Lotto Canada. What is the likelihood you will win the $1 million jackpot? The probability of an earthquake in northern California in the next 10 years above 5.0 on the Richter Scale is .80.

Explanation / Answer

a) Classical Probability

There are 'n' number of events and you can find the probability of the happening of an event by applying basic probability formulae. For example - the probability of getting a head in a single toss of a coin is 1/2. This is Classical Probability.

b) Empirical Probability

  This type of probability is based on experiments. Say, we want to know that how many times a head will turn up if we toss a coin 1000 times. According to the Traditional approach, the answer should be 500. But according to Empirical approach, we'll first conduct an experiment in which we'll toss a coin 1000 times and then we can draw our answer based on the observations of our experiment

c) Empirical Probability

This type of probability is based on experiments. Say, we want to know that how many times a head will turn up if we toss a coin 1000 times. According to the Traditional approach, the answer should be 500. But according to Empirical approach, we'll first conduct an experiment in which we'll toss a coin 1000 times and then we can draw our answer based on the observations of our experiment

d) Subjective Probability

  This is solely based on the intuition of a person. It is vague and rarely accurate. For example - on a particular day, a person might feel that there is a 40% probability that it will rain on that day. There's no formula to calculate it. It's simply based on that person's intuition.

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