a. The choice magazine survey of the customers of the four biggest Australian banks found that...

 

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a. The choice magazine survey of the customers of the four biggest Australian banks found that 85% were very or fairly satisfied with their home loans. Suppose a random sample of 40 customers of the big four banks is taken. If 85% of their customers are still satisfied with their home loans, what is the probability that exactly 32 of the 40 are satisfied with their home loan? (3 marks) b. According to the New Zealand department of labor, approximately 4% of all workers in Auckland are unemployed. If you were conducting a random telephone survey in Auckland, what would be the probability of getting two or fewer unemployed workers in a sample of 20? (4 marks) c. A bank has an average random arrival rate of 3.2 customers' every 4 minutes. What is the probability of getting exactly 10 customers during an 8-minute interval? (3 marks) a. The choice magazine survey of the customers of the four biggest Australian banks found that 85% were very or fairly satisfied with their home loans. Suppose a random sample of 40 customers of the big four banks is taken. If 85% of their customers are still satisfied with their home loans, what is the probability that exactly 32 of the 40 are satisfied with their home loan? (3 marks) b. According to the New Zealand department of labor, approximately 4% of all workers in Auckland are unemployed. If you were conducting a random telephone survey in Auckland, what would be the probability of getting two or fewer unemployed workers in a sample of 20? (4 marks) c. A bank has an average random arrival rate of 3.2 customers' every 4 minutes. What is the probability of getting exactly 10 customers during an 8-minute interval? (3 marks)

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