SOLUTION: Suppose the distribution of heights of a group of 300 children is normal with mean of 160 cm and a standard deviation of 15cm. About how many of these children are less than 145cm
Algebra.Com
Question 968184: Suppose the distribution of heights of a group of 300 children is normal with mean of 160 cm and a standard deviation of 15cm. About how many of these children are less than 145cm tall?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose the distribution of heights of a group of 300 children is normal with mean of 160 cm and a standard deviation of 15cm. About how many of these children are less than 145cm tall?
----
z(145) = (145-160)/15 = -15/15 = -1
----
P(x < 145) = P(z < -1) = o.1587
----
Ans: 0.1587*300 is approximately 48
-------------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Suppose the distribution of heights of a group of 200 children is normal, with a mean of... (answered by stanbon)
The heights of children aged between 8 and 15 follow a normal distribution with mean of... (answered by ikleyn)
Suppose that people's heights (in centimeters) are normally distributed, with a mean of... (answered by Glaviolette)
The heights of boys at a particular age follow a normal distribution with mean 150.3 cm... (answered by ewatrrr)
The average height of a group of children is 122 cm with a standard deviation of 8 cm.... (answered by ewatrrr)
The heights of a group of athletes are modelled by a normal distribution with mean 180 cm (answered by robertb)
Heights of men on a baseball team have a bell-shaped distribution with a mean of 172... (answered by ikleyn)
Suppose that people's heights (in centimeters) are normally distributed, with a mean of... (answered by ewatrrr)
Heights of men on a baseball team have a bell-shaped distribution with a mean of 167 cm... (answered by Boreal)