How many people out of 12 people do you expect to be taller than 6ft.? Now if you keep on selecting people, one at a time until you find four people taller than 6ft, (thinking about you are choosing people to form a basketball team), what is the chance that you need to select exactly 8 people?
How many people out of 12 people do you expect to be taller than 6ft.? Now if you keep on selecting people, one at a time until you find four people taller than 6ft, (thinking about you are choosing people to form a basketball team), what is the chance that you need to select exactly 8 people?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
- In a given town, there are 10% of males taller than 6 ft.
- If you randomly choose 18 people from this population, what is the chance that at least two of them are over 6 ft.?
- How many people out of 12 people do you expect to be taller than 6ft.?
- Now if you keep on selecting people, one at a time until you find four people taller than 6ft, (thinking about you are choosing people to form a basketball team), what is the chance that you need to select exactly 8 people?
(solve with a z score table please)
Expert Solution
Step 1
Let X be the number of people over 6 ft with probability p= 10% =0.1
1): number of people selected n=18
X~ Bin(n=18,p=0.10)
pmf : P(x)= {nx}px(1-p)n-x :x=0,1,2... n
P(x)={18x}×0.1x×0.918-x : x=0,1,2... 18
what is the chance that at least two of them are over 6 ft.?
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