Introduction to Probability and Statistics with
Calculus (UN1201)
Fall 2016
https:/courseworks.columbia.edu
John P. Cunningham
jpc2181@columbia.edu
stat.columbia.edu/%7Ecunningham
Course Syllabus
Description
This course provides a comprehensive introducti
Chapter 3: Discrete Random Variables and Probability Distributions
e.
49.
With n = 50, P(X = 0) =
50
0
(.05)0 (.95)50
(.95)50 = .077.
Let X be the number of seconds, so X ~ Bin(6, .10).
n x
6
p (1 p ) n x =
(.1)1 (.9) 5 .3543 .
a. P(X = 1) =
x
1
b.
P(X
6
UN1201 HW2 Solution
3.10. The number of pumps in use at both a six-pump station and a four-pump
station will be determined. Give the possible values for each of the following
random variables:
a. T = the total number of pumps in use
b. X = the differ