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3 years ago

Can someone explain to me how to do this problem???

Mathematics

1 answer:

balandron [24]3 years ago

3 0

Answer is C. Mean is the mid-point value and one standard deviation on either side. (100-85=15 and 115-100=15)

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Convert the rectangular coordinates (3,4) into polar coordinates

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3 years ago

Bo is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 20 met

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2 years ago

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

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Answer:

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Step-by-step explanation:

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3 years ago

Carly purchased 9.5 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream, what is the gre

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3 years ago

Read 2 more answers

Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find

liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

The variance is also 14, which means that the standard deviation is $\sqrt{14} = 3.74$

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

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3 years ago