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vampirchik [111]
3 years ago
14

Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau

se of the very high cost the company performs numerous test on every component. These test tend to extend the component assembly time. Suppose the time required to construct and test (called build time) a particular component is thought to be normally distributed, with a mean equal to 60 hours and a standard deviation equal to 9.4 hours. To keep the assembly flow moving on schedule, this component needs to have a build time between 52 and 70 hours. Find the probability that the build time will be such that assembly will stay on schedule.
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

P(52

And we can find this probability with this difference:

P(-0.851

And if we use the normal standard distribution or excel we got:

P(-0.851

Step-by-step explanation:

Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:

X \sim N(60,9.4)  

Where \mu=60 and \sigma=9.4

We want to find this probability:

P(52

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

Using this formula we got:

P(52

And we can find this probability with this difference:

P(-0.851

And if we use the normal standard distribution or excel we got:

P(-0.851

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r  = 6

Step-by-step explanation:

To get the value of r we will use the pythagoras theorem a shown;

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A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

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3 years ago
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