SOLUTION: A petrol station sells, on the average, 14500 litters of petrol, per day with a standard deviation of 2500 litters. If a manager stocks 20,000 liters on a particular day, what is P

Algebra ->  Probability-and-statistics -> SOLUTION: A petrol station sells, on the average, 14500 litters of petrol, per day with a standard deviation of 2500 litters. If a manager stocks 20,000 liters on a particular day, what is P      Log On


   



Question 1159392: A petrol station sells, on the average, 14500 litters of petrol, per day with a standard deviation of 2500 litters. If a manager stocks 20,000 liters on a particular day, what is PROBABILITY that:
-At most 20,000 litters will be sold.
-More than 10,000 litters will be sold.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
z=(20000-14500)/2500=2.2
At most 20000 liters/day is probability at most z=2.2, meaning z<=2.2, and that probability is 0.9861.
More than 10000 liters is probability that z > -4500/2500 or -1.8. That probability is 0.9641.