Question

Suppose certain coins have weights that are normally distributed with a mean of 5.912 g and...

Suppose certain coins have weights that are normally distributed with a mean of 5.912 g and a standard deviation of 0.075 g

A vending machine is configured to accept those coins with weights between 5.802 g and 6.022 g.

  1. If 260 different coins are inserted into the vending​machine, what is the expected number of rejected​coins? The expected number of rejected coins is 37.
  2. If 260 different coins are inserted into the vending​ machine, what is the probability that the mean falls between the limits of 5.802 g and 6.022​? The probability is approximately ​(Round to four decimal places as​ needed.)?
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Answer #1

Given that, mean = 5.912 g and

standard deviation = 0.075 g

b) Sample size ( n ) = 260

We want to find,

Therefore, required probability is 1.0000

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