Question

Alfie Solomons owns a rum distillery. On average, he produces 100 liters of rum with a standard deviation of 18 liters. Suppose this time he produces 112 liters. What is the probability of producing 112 or more liters of rum? Do not round your answer (hint: use the z-table).

Answer 1

Solution :

Given that ,

mean = = 100

standard deviation = = 18

P(x 112) = 1 - P(x   112)

= 1 - P((x - ) / (112 - 100) / 18)

= 1 -  P(z 0.67)  

= 1 - 0.7486 Using standard normal table.   

= 0.2514

Probability = 0.2514