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What percent of kindergarten children are between 40 and 46 inches
tall?
Heights of kindergarten children are normally distributed. With a mean of 40 and a standard
deviation of 6 inches.

What percent of kindergarten children are between 40 and 46 inches tall Heights of kindergarten children are normally distributed With a mean of 40 and a standa class=

Respuesta :

Answer:

34%

Step-by-step explanation:

-Given mean=40 and standard deviation=6

-Let X be the height of a random pick

-We apply the normal distribution formula to find the probability:

[tex]P(40<X<46)=P(\frac{X-\mu}{\sigma}<z<\frac{X-\mu}{\sigma})\\\\\\=P(\frac{40-40}{6}<z<\frac{46-40}{6})\\\\=P(0<z<1)\\\\=0.84134-0.5000\\\\=0.34134[/tex]

[tex]\approx0.34=34\%[/tex]

Hence, the probability is 34%