The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candi…

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asked Feb 4, 2017 90.8k views

2 Answers

Trx · Answer 1 · 2017-02-10T08:21:30+0000

Answer:

The weight of the box is 18 oz.

Explanation:

In normal distribution,

z score of x is,

$z=(x-\mu)/(\sigma)$

Where,

$\mu$ is mean and
$\sigma$ is the standard deviation,

Here,
$\mu=16$ ,
$\sigma=1$ and
z=2

By substituting the values,

2=(x-16)/(1)

$\implies 2 = x - 16\implies x = 18$

Hence, the weight of the box is 18 oz.