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Suppose certain coins have weights that are normally distributed with a mean of 5.641 g5.641 g and a...

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Question

Basic Math

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.)

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