Question

Identify (using the most appropriate of lists, rules, or notation) the elements of each of the following sample spaces:

1) Weight of a randomly selected crawfish

2) A cubic die and a octahedron (8 sided) die being rolled

3) Human IQ

4) Days till next hurricane hits Baton Rouge

5) A die being rolled until an odd number is obtained thrice in a row

Answer 1

(1)
S = {x/ x = any positive real number}

EXPLANATION: Weight of a crawfish can be any positive real number: integer or fraction but cannot be 0. It cannot an imginary number.

(b)

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8),

       (2,1), (2,2), (2,3), (3,4), (2,5), (2,6), (2,7), (2,8),

      (3,1), (3,2), (3,3), (3,4), (3,5), (3,6) (3,7), (3,8)}

EXPLANATION: In each bracket, first number gives the outcome of cubic (3 sides) die. Second number gives the outcome of octahedron (8 sided) die.

(c)

S = {x/x = a positive integer value between 55 to 230}

EXPLANATION: Human IQ values are given as integer numbers varying from 55 to 230. A vaue of below 70 being IQ deficient. Above 145 Genius.

(d)

S = {x/ x = positive integer value including 0}

EXPLANATION: Days till next hurricane can be any positive integer including 0.

(e)

S = {OOO, EOOO, EEOOO,OEOOO, OOEOOO,OOEEOOO, etc.}

EXPLANATION: In the above set, O stands for Odd number. E stands for Even number. The number of variables in the set is infinity, because:

the varous chances are:

Trial 1 to 3 can be all odd numbers

Trial1 is Even. Trials 2 to 4: all odd

etc.