Suppose certain coins has weights that are normally distributed with

a mean of 5.996 g and a standard deviation of 0.057 g. A vending machine is configured too accept those coins with weights between 5.936 g and 6.056 g.

If 280 different coins were inserted into the vending machine, what is the expected number of rejected coins? (Round to the nearest integer)

If 280 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.963 g and 6.056 g ? ( round 4 decimal places please.)
Which result is more important to the owner of the vending machine? why?
A Part (a) because the average result is more important.
B. Part (b) because rejected coins could mean lost sales.
C. Part (b) because the average result is more important.
D. Part (a) because rejected coins could mean lost sales.

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"