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The respiratory rate (in breaths per minute) in newborns varies according to a distribution that is approximately Normal, with a mean of 50 and a standard deviation of 5. Use Excel to answer this question: What is the probability that a randomly chosen newborn has a respiratory rate between 40 and 55 breaths per minute

Respuesta :

Answer:

[tex]P(40<X<55)[/tex]

And since we need to use excel the code in order to find the answer would be:

=NORM.DIST(55,50,5,TRUE)-NORM.DIST(40,50,5,TRUE)

And the answer would be:

[tex]P(40<X<55)=0.819[/tex]

Step-by-step explanation:

Let X the random variable that represent the respiratory rate of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(50,5)[/tex]  

Where [tex]\mu=50[/tex] and [tex]\sigma=5[/tex]

We are interested on this probability

[tex]P(40<X<55)[/tex]

And since we need to use excel the code in order to find the answer would be:

=NORM.DIST(55,50,5,TRUE)-NORM.DIST(40,50,5,TRUE)

And the answer would be:

[tex]P(40<X<55)=0.819[/tex]

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