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Fittoniya [83]
2 years ago
8

A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t

he actual weight of the laptop in the box has a normal distribution, with a mean of 33 oz. and a standard deviation of 0.7 oz. what proportion of laptops are overweight (i.e., weigh more than 32 oz.)?
Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

Solution: We are given:

\mu=0.33,  \sigma =0.7

Let x be the weight (oz) of laptop

We have to find P(x>32)

To find the this probability, we need to find the z score value.

The z score is given below:

z=\frac{x-\mu}{\sigma}

       =\frac{32-33}{0.7}

       =-1.43

Now, we have to find P(z>-1.43)

Using the standard normal table, we have:

P(z>-1.43)=0.9236

0.9236 or 92.36% of laptops are overweight

       


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