Can someone help me please?
1 answer:
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Answer:
<em>Answer: 512 inches</em>
Step-by-step explanation:
<u>Unit Conversion</u>
We need to recall two basic unit conversions for length:
1 inch = 2.54 cm
1 meter = 100 cm
We are given a length of 13 meters. Converting to centimeters:
13 * 100 = 1300 cm
Now convert to inches dividing by 2.54:
Answer: 512 inches
Answer:
And we can find this probability with the following difference and using the normal standard table or excel we have:
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 variable of interest 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 with the following difference and using the normal standard table or excel we have: