SOLUTION: Would you please show the steps in how to compute these? This as you know is z scores. Thank you. The average commute time via train from the Chicago O'Hare Airport to downtown

Question 810394: Would you please show the steps in how to compute these? This as you know is z scores. Thank you.
The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be:
a. longer than 80 minutes?
b. less than 50 minutes?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be:
a. longer than 80 minutes?
z(80) = (80-60)/15 = 20/15 = 4/3
P(x > 80) = P(z > 4/3) = normalcdf(4/3,100) = 0.0912
---------------------
b. less than 50 minutes?
z(50) = (50-60)/15 = -10/15 = -2/3
P(x < 50) = P(z < -2/3) = normalcdf(-100,-2/3) = 0.2525
===========================
Cheers,
Stan H.
====================

RELATED QUESTIONS
2x^2y(x + y^3 + z^5) In this type of operation, do you do the part in ( ) first? How (answered by jake_6233)

Hi, I just started an Algebra class and I'm no sure how to solve this problem using... (answered by richard1234)

Determine the term in Pascal's Triangle that these equations would lead you to:... (answered by Edwin McCravy)

Ineed help solving this word problem. on a math test, 12 students earned an A. This... (answered by jainenderkapoor)

My teacher has not gone over this and I need help! The problem asks to express the... (answered by jim_thompson5910)

Would you please show me how to solve the eqation for the variable indicated in this... (answered by jim_thompson5910)

Hi, I need help solving this math word problem please. The average number of vehicles... (answered by KMST)

I need to know the steps to find x and y on paper. I know how to plug these into a... (answered by solver91311)

If you are given an average for 5 tests and then one test score is deleted from the... (answered by rothauserc)