Suppose certain coins have weights that are normally distributedwith a mean of
5.641 g5.641 g
and a standard deviation of
0.069 g0.069 g.
A vending machine is configured to accept those coins withweights between
5.5215.521
g and
5.7615.761
g.
a. If
300300
different coins are inserted into the vending​ machine, what isthe expected number of rejected​ coins?The expected number ofrejected coins is
2525.
​(Round to the nearest​ integer.)b. If
300300
different coins are inserted into the vending​ machine, what isthe probability that the mean falls between the limits of
5.5215.521
g and
5.7615.761
​g?The probability is approximately
(missing data)
​(Round to four decimal places as​ needed.)
