signment i
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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 \( \$ 115 \) and \( \$ 35 \), respectively. The organizers would call this event a success if the total contributions exceed \( \$ 5,000 \). What is the probability that this fund-raising event is a success?
Note: Round final answer to 4 decimal places.
Probability \( \square \)