Question

‘a’ students are selected at random from an engineering class and classified as

male or female. List the elements of sample space S1 using the letter M for male

F for female. Define a second sample space S2 Where the elements represent the

number of females selected.

Answer 1

$$S_1 = \{a\ times\ M\&0\ times\ F, a-1\ times\ M\&1\ times\ F,$$

$$a-2\ times\ M\&2\ times\ F, ...,$$

$$1\ times\ M\& a-1\ times\ F,0\ times\ M\& a\ times\ F\}$$

Because $a$ students are selected at random, the number of selected female students can be $0,1,..., a-1, a,$ then the sampe space $S_2$ is

$$S_1 = \{0,1,2,..., a-1, a\}$$