Suppose certain coins have weights that are normally distributed with a mean of 5.946 g

5.946g and a standard deviation of 0.056 g. A vending machine is configured to accept those coins with weights between 5.836 g and 6.056 g.

If 280 different coins are inserted into the vendingmachine, the expected number of rejectedcoins is 14.

If 280 different coins are inserted into the vendingmachine, what is the probability that the mean falls between the limits of 5.836 g

and 6.056 g?

The probability is approximately ________