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mr_godi [17]
3 years ago
14

In your own words, explain the Normal Distribution and provide a real world example.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

X \sim N(\mu , \sigma)

The two parameters are:

\mu who represent the mean and is on the center of the distribution

\sigma who represent the standard deviation  

One particular case is the normal standard distribution denoted by:

Z \sim N(0,1)

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

X \sim N(\mu , \sigma)

The two parameters are:

\mu who represent the mean and is on the center of the distribution

\sigma who represent the standard deviation  

One particular case is the normal standard distribution denoted by:

Z \sim N(0,1)

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

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Answer:

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Step-by-step explanation:

Step one:

capacity of tank= 18.5gallons

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Hence, the vehicle can travel 666 miles on 18.5 gallons

Required

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Step two:

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cross multiply we have

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divide both sides by 18.5

x= 3330/18.5

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