The document discusses the probability of asking 10 people before one reports having lung cancer. It states that the lifetime risk of developing lung cancer is 1.25%. It then shows the calculation of this probability as 1.12%, finding the mean as 80 people and the standard deviation as 79.5 people.

1. The lifetime risk of developing lung
cancer is about 1.25%.
What is the probability of that you ask ten
people before one says he or she has lung
cancer
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
HTTPS://WWW.SLIDESHARE.NET/NADEEMUDDIN17
HTTPS://NADEEMSTATS.WORDPRESS.COM/LISTOFBOOKS/

2. Example
The lifetime risk of developing lung cancer is about 1.25%.
(a) What is the probability of that you ask ten people before one
says he or she has lung cancer?
(b) Find the (i) mean and (ii) standard deviation.
Solution:
(a) P = 0.0125
q = 1- 0.01 = 0.9875
x=10
𝑃 𝑋 = 𝑥 = 𝑝𝑞𝑥−1
𝑃 𝑋 = 10 = (0.0125)(0.9875)10−1
𝑃 𝑋 = 10 = 0.0112

3. (b)
𝑚𝑒𝑎𝑛 =
1
𝑝
𝑚𝑒𝑎𝑛 =
1
0.0125
= 80
𝑆. 𝑑 =
𝑞
𝑝2
𝑆. 𝑑 =
0.9875
(0.0125)2 = 79.50