Question

1. A coffee machine has two nozzles. It is known that the amount of coffee dispensed by the first nozzle is

Answer 1

Answer:

The Second nozzle

Step-by-step explanation:

Those are both normally distributed events, therefor we need to calculate Z value of both events:

First nozzle:

$z=(8-7.1)/0.41=2.20$

Second nozzle:

$z=(8-7.2)/0.33=2.42$

Probability of overfilling the cup from first nozzle:

$1-P(z)=1-P(2.20)=1-0.9861=0.0139$

Probability of overfilling the cup from second nozzle:

$1-P(z)=1-P(2.42)=1-0.9922=0.0087$

The Second nozzle has less probability to overfilling the cup.

PS. Find the z table at the attachment.