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faust18 [17]
3 years ago
11

The assembly time for a product is uniformly distributed between 8 and 12 minutes.The mean and the variance of the assembly time

are: a.4 minutes and 16 (minute)2 b.8 minutes and 12 (minute)2 c.12 minutes and 1.33 (minute)2 d.10 minutes and 1.33 (minute)2
Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

d. 10 minutes and 1.33 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

M = \frac{a + b}{2}

The variance of the uniform distribution is given by:

V = \frac{(b-a)^{2}}{12}

The assembly time for a product is uniformly distributed between 8 and 12 minutes.

This means that a = 8, b = 12.

Mean:

M = \frac{8 + 12}{2} = 10

Variance:

V = \frac{(12-8)^{2}}{12} = 1.33

So the correct answer is:

d. 10 minutes and 1.33 minutes.

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