Question

The demand for a product is Normally distributed with mean 500 and standard deviation 35. What is the probability that demand is between 470 and 550, that is P(470<x<550)? Keep at least two decimal points.

Answer 1

Solution :

Given that ,

mean = = 500

standard deviation = = 35

P(470 < x < 550) = P[(470 - 500)/ 35) < (x - ) /  < (550 - 500) / 35) ]

= P(-0.86 < z < 1.43)

= P(z < 1.43) - P(z < -0.86)

= 0.9236 - 0.1949

= 0.73

P(470 < x < 550) = 0.73