6.11: Normal Probability Distribution | Probability & Statistics by Walpole 9th Edition | Solution
In this video, I solved Question 6.11 from Chapter 6 of Probability & Statistics for Engineers & Scientists by Walpole (9th Edition) — and walk you through the exact Z-table lookup method step by step.
📘 Q6.11 Problem Statement:
A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters,
(a) what fraction of the cups will contain more than 224 milliliters?
(b) what is the probability that a cup contains between 191 and 209 milliliters?
(c) how many cups will probably overflow if 230milliliter cups are used for the next 1000 drinks?
(d) below what value do we get the smallest 25% of the drinks?
0:00 Intro
1:00 Part (a)
4:10 Part (b)
8:10 Part (c)
11:00 Part (d)
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