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)= {ⁿ_x}p^x(1-p)^n-x :x=0,1,2... n

P(x)={¹⁸_x}×0.1^x×0.9^18-x : x=0,1,2... 18

what is the chance that at least two of them are over 6 ft.?

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