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Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of

Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $125 and $50, respectively. The organizers would call this event a success if the total contributions exceed $5,400. What is the probability that this fund-raising event is a success? (You may find it useful to reference the z table. Round final answer to 4 decimal places.)

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