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In June 2009, the average Australian credit card account balance was $3,127, according to data extracted Assuming that these balances are approximately Normally distributed with a mean of $3,127 and a standard deviation of $1,500:
(a) Find the probability that an account balance is less than $2,000. Use a diagram!
Clearly indicate any properties of the Normal distribution that you are using to facilitate your calculation.
(b) One quarter of credit card accounts carry at least what balance? Use a diagram!
(c) Suppose that 100 credit card account balances are randomly selected. What is the probability that the average account balance in this sample is greater than $3,200? Use a diagram! What quantity must be approximately Normal for this calculation?
The following data shows marks obtained by 40 students in a Statistics test. 75 99 72 54 25 40 65 32 69 10 85 48 52 80 63 64 35 62 51 71 67 57 95 74 56 69 61 49 45 63 39
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