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.

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



HTTT
THTT
TTHT
TTTH

HHTT
HTHT
HTTH
TTHH
THHT
THTH

HHHT
THHH
HTHH
HHTH



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

x=16/11 in decimal form 1.45

Step-by-step explanation: 1/2 (−4+12)+3( 1/3x+6)=3/4(16x+8)

4+x+18=12x+6

(x)+(4+18)=12x+6(Combine Like Terms)

x+22=12x+6

x+22=12x+6

Step 2: Subtract 12x from both sides.

x+22−12x=12x+6−12x

−11x+22=6

Step 3: Subtract 22 from both sides.

−11x+22−22=6−22

−11x=−16

Step 4: Divide both sides by -11.

-11x/-11=-16/-11

x=16/11 or 1.45