Question

Describe a reasonable sample space to model this experiment. (b) let n be the number of sample points that are inside the unit circle. find e(n). (c) use this to construct a random variable p with e(p) = π. this random variable will give your estimate of π.

Answer 1

A) Flip a coin 4 times. list sample space(ω) LET H HITS AND T TAILS.

TTTT

HTTT
THTT
TTHT
TTTH

HHTT
HTHT
HTTH
TTHH
THHT
THTH

HHHT
THHH
HTHH
HHTH

HHHH

B) ω= 1+4+6+4+1= 16 = number of sample space, which is = to n.

C) the random variable should 3.14 approximately or 22/7