Question

In: Statistics and Probability

Name three properties of a normal distribution. Give an original example of a normal distribution in...

Name three properties of a normal distribution. Give an original example of a normal distribution in "real life".

Plesae type instead of writing

Solutions

Expert Solution

1) Normal curve is bell- shaped curve symmetric about the mean.

2) Mean, median and mode are same position and it divide the curve in two halfs.

3) Area under the normal curve is equal to one as it determine the probability of happening event and probability never more than 1.

example: A farmer has a cow it produce 5.4 liters of milk daily but farmer want more milk and think that he should feed more to cow for more milk. National milk produced by cow is 4.8 liters with population standard deviation 0.25. As a researcher you need check if the farmer he should feed more to cow or not.

mu= 4.8

sigma= 0.25

X= 5.4

Z=(X-mu)/sigma

=2.4

probability=P(Z<2.4)

=0.991802464

farmer's cow milk production is 99.18 % higher than lowest milk produced by cow.

so, farmer should not feed more to cow for more milk production.

.............................

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