. The balances of all savings accounts at a local bank have a distribution that is skewed to the right with its mean equal to $12,450 and standard deviation equal to $4,300. Find the probability that the mean balance of a sample of 50 savings accounts selected from this bank will be more than $11,500.

a) Write down the probability statement to calculate the probability of interest. Make sure to use the correct notation. (3 marks) b) Calculate the z-score needed to calculate the probability of interest. Write the formula used to calculate the z-score, substitute the necessary values. Write the final answer to two decimal places. (4 marks)

c) Calculate the probability of interest. Marks will only be given where all workings are shown. (4 marks)