Question

1.2.5 The sample space of an experiment consists of all undergraduates at a univer- sity. Give four examples of partitions.

PLEASE make ur hand writing clear so I can read it

Answer 1

There are many answers to this problem. Here are four partitions.

1. We can divide students by their respective streams (ex. Engineer , Arts , Medical, etc. }. Let A₁equal the set of engineering students and A₂ Arts and A₃ Medical students. {A₁, A₂ , A₃} is a partition.
2. We can also partition students by gender. Let M denotes Male students and F denotes Female students.{M , F} is a partition.
3. We can also separate students by their height. Let H_i denote the subset of students with Height H (in inch) satisfying i-1≤ H < i (inch). {H₁₀, H₁₂, . . . , H₈₀}is a partition. Note that H₄₈ is the set of all students with height of 47 - 48 inches.
4. At last, we can also categorise students by weather they are wearing specs or not. Let S₀ denote the number of students who are wearing specs and let S₁ denote all other students . {S₀, S₁} is a defined partition.