SOLUTION: Need help, I was given this question in my class and the tutorial link that would show me how to figure it out isn't working. Can someone please show me how to calculate? The n

Question 872514: Need help, I was given this question in my class and the tutorial link that would show me how to figure it out isn't working. Can someone please show me how to calculate?
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days? Post your solutions to the problems and respond to the solutions posted by your classmates
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
this problem uses the normal distribution and z-table values to calculate probabilities
1) calculate z-value for Pr(X<10)
z-value = (10 - 14) / 3 = -4/3 = -1.33
consult z-table of negative values and
Pr(X<10) = 0.09
2) Pr(X>21) = 1 - Pr(X<21)
the z-value for Pr(X<21) is (21 -14) / 3 = 7/3 = 2.33
consult z-table for positive values
Pr(X>21) = 1 - 0.99 = 0.01

RELATED QUESTIONS
Please can you help me with this equation, I have tried but can't figure it out. The... (answered by fners)

I have been working a problem over and over for my online algebra class and I have also... (answered by jim_thompson5910)

I need help trying to solve this equation. If you show me how to work it I can figure the (answered by Fombitz)

The formula d = r x t is used to determine distance, d given the rate, r, and the time... (answered by nerdybill)

Can anyone give me about 4 or 5 Word Problems that you use Substitution or Elimination to (answered by ptaylor)

So, I do not know how to explain this so I'm going to paste a link... but also type out... (answered by Alan3354,Barneysmom)

Greetings mathematic overlords, My conundrum is as follows, I have this equation I am... (answered by scott8148)

The question i need help with is Morgan loaned $4,500 to Rolf at a simple interest rate (answered by Alan3354)

ok im not sure how to figure this out. i was given the coordinates (0,4) and (0,10) or (answered by derbyman4025)