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mahalabear9439
30.11.2019 •
Mathematics
Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. a manufacturer gaurantees that shoes lasting less than a year are replaced for free. for every 1000 pairs sold how many pairs should the manufacturer expect to replaces free? assume a normal distributiom.
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Ответ:
For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.
Step-by-step explanation:
Given:
Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)
Let's find the Z score.
Z =![\frac{x - mean}{S.D}](/tpl/images/0396/9771/67779.png)
Now plug in the given values in the above formula, we get
Z =![\frac{1 - 2.2}{1.7} = -0.71](/tpl/images/0396/9771/c8ee0.png)
Now we have to use the z-score table.
The z-score for 0.71 is 0.2611
Since it z is negative, so we subtract 0.2611 from 0.5000
0.5000 - 0.2611 = 0.2389
Percentage = 0.2389 × 100 = 23.89%
To find replaces for 1000 pairs, we need to multiply 23.89% by 1000
=![\frac{23.89}{100} .1000 = 238.9](/tpl/images/0396/9771/7c6d5.png)
= 239
The cannot be in decimal, when we round off to the nearest whole, we get
239
Ответ:
Hellow
the answer is above
BAŞARILAR