SOLUTION: Number of customer in the store during a day follows Normal distribution with mean M and standard deviation σ. Find probability that number of customer during a day will b

Algebra ->  Probability-and-statistics -> SOLUTION: Number of customer in the store during a day follows Normal distribution with mean M and standard deviation σ. Find probability that number of customer during a day will b      Log On


   

Question 875190: Number of customer in the store during a day follows Normal distribution
with mean M and standard deviation σ.
Find probability that number of customer during a day will be:
1. less than x1 P(x < x1)
2. greater than x2 P(x > x2)
3. between x1 and x2 P(x1 < x < x2)
For M, σ, x1, x2 use numbers assigned for you (σ)is 10, (M)is 80,x1= 66, x2=94
Help: convert x1 and x2 to z1, z2 using formula: z = (x - M)/σ
and use Appendix tables for Normal distribution.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

m = 80, SD = 10

P(z < (94-66)/10) = normalcdf(66,94,80,10)  Using TI (Highly recommended)

Or P(z < (94-66)/10) = P(x <94) - P(x , 66) = P(z < (92-80)/10) - P(z < (66-80)/10)

P(z< 1.4) - P(z < -1.4) = .9192 - .0808 = .8384