Question
part 1: Consider the following contingency table that reports the results of a sample of 50people that looks at the relationship between high and low
part 1: Consider the following contingency table that reports the results of a sample of 50people that looks at the relationship between high and low income and whether or not a respondent has a Kaplan degree.
Has a Kaplan degree Does not have a Kaplan degree total
High income 20 7 27
low income 8 15 23
total 28 22 50
Part A
Calculate the following probabilities:
1.The probability that a person has a Kaplan degree. (1 mark)
2.The probability that a person has a Kaplan degree and is a high-income earner. (1 mark)
3.The probability that a person has a Kaplan degree or is a high-income earner. (1 mark)
4.The probability that a person is a high-income earner given they have a Kaplan degree. (1 mark)
Part B
Determine if income level and Kaplan degree are independent. (You can refer to your probability calculations in Part A.)
Part C
Consider the situation where a customer has a 20% probability of making a purchase when entering a shop.If six customers enter the shop, calculate the probability of exactly three customers making a purchaseusing:
1.The binomial formula. (2 marks)
2.The cumulative binomial table. (2 marks)
Calculate the mean and variance of this distribution.
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