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jrff3262
10.03.2020 •
Mathematics
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4060 grams and a standard deviation of 535 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4916 grams. Round your answer to four decimal places.
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Ответ:
And we can find this probability using the normal standard table or exce:
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 weights of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=535](/tpl/images/0539/8131/6debe.png)
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 using the normal standard table or exce:
Ответ:
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Step-by-step explanation: