ผลต่างระหว่างรุ่นของ "Probstat/week2 practice 1"

จาก Theory Wiki
ไปยังการนำทาง ไปยังการค้นหา
แถว 3: แถว 3:
 
== Conditional probability review ==
 
== Conditional probability review ==
  
1. Consider a sample space <math>S = \{ 0,1,2,3,...,41 \}</math>.
+
1. Consider a sample space <math>S = \{ 0,1,2,3,...,41 \}</math>. We randomly pick an integer from <math>S</math>.  
  
 
1.1 What is the probability that a random number from <math>S</math> is divisible by 2 given that it is divisible by 3.
 
1.1 What is the probability that a random number from <math>S</math> is divisible by 2 given that it is divisible by 3.
  
1.2 We randomly pick an integer from <math>S</math>. Are events "an integer divisible by 2 is picked" and "an integer divisible by 3 is picked" independent?
+
1.2 Are events "an integer divisible by 2 is picked" and "an integer divisible by 3 is picked" independent?
 +
 
 +
1.3 What is the probability that a random number from <math>S</math> is divisible by 4 given that it is divisible by 3.
 +
 
 +
1.4 Are events "an integer divisible by 4 is picked" and "an integer divisible by 3 is picked" independent?
  
 
== Counting ==
 
== Counting ==

รุ่นแก้ไขเมื่อ 23:45, 25 สิงหาคม 2557

This is part of probstat

Conditional probability review

1. Consider a sample space . We randomly pick an integer from .

1.1 What is the probability that a random number from is divisible by 2 given that it is divisible by 3.

1.2 Are events "an integer divisible by 2 is picked" and "an integer divisible by 3 is picked" independent?

1.3 What is the probability that a random number from is divisible by 4 given that it is divisible by 3.

1.4 Are events "an integer divisible by 4 is picked" and "an integer divisible by 3 is picked" independent?

Counting

Permutation and combination

Exercises