SOLUTION: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 60 people. (You may need to use th

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 60 people. (You may need to use th      Log On


   

Question 893098: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 60 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.)
(a)How many would you expect to be between 170 and 175 cm tall?
(b)How many would you expect to be taller than 176 cm?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 60 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.)
(a)How many would you expect to be between 170 and 175 cm tall?
z(170) = (170-170)/5 = 0
z(175) = (175-170)/5 = 1
P(170<= x <=175) = P(0<= z <=1) = 0.3413
Ans: # = 0.3413*60 = 20 when rounded down
-----------------------------------------------
(b)How many would you expect to be taller than 176 cm?
z(176) = (176-170)/5 = 6/5
P(x > 176) = P(z > 6/5) = 0.1151
Ans: # = 0.1151*60 = 7 when rounded up
===================
Cheers,
Stan H.
-------------------