Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says
1 answer:
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Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula:
Solving:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula:
Solving:
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.