Question

Hi, can you help me answer this question please, thank you!

Answer 1

Let X be the height measurement of ten years children in a country of united states.

Then,

`X\approx N(55.8,7.8)`

To find

`P(X<37.7)`

Using the definition

`Z=(X-\mu)/(\sigma)`

`P(X<37.7)=0.0102`

Hence, the probability that a randomly chosen child has a height less than 37.7 inches is 0.0102.

Now,

`P(X>58.3)=0.3743`

Hence, the probability that a randomly chosen child has a height more than 58.3 inches is 0.3743.