Questions about conditions and parameters

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Presentation transcript:

Questions about conditions and parameters

A restaurant manager knows 75% of people who order a meal also order a drink. There are 40 people in the restaurant and they all ordered drinks with their meal which has a probability of 0.00001056. State which distribution is used to reach this conclusion and identify the necessary conditions and parameter(s) used. Explain which of the conditions was most likely to have been violated.

Answer A binomial distribution with x=40, n=40 and p=0.75 gives the probability given. This assumes that there are only two possibilities (order drink or not), the probability of ordering a drink is constant and that the people’s choices are independent. Independence of choice is most likely to have been violated. If people you are with order a drink, you are more likely to as well. If it’s a hot day, people are more likely to order cold drinks, etc.