Question

You toss a fair coin 5 times, find the probability distribution of x

Answer 1

Explanation:

if a coin has two sides X and Y the chance of it landing on X would be half.

out of 5 flips 2.5 would b X.

you cant land a coin on a half and so the answer would be 2 or 3 if you round up or down.

Answer 2

see below

Explanation:

First we need to list the sample space

THHHH,THHHT,THHTH,THHTT,THTHH,THTHT,THTTH,THTTT

HTHHH,HTHHT,HTHTH,HTHTT,HTTHH,HTTHT,HTTTH,HTTTT

HHHHH,HHHHT,HHHTH,HHHTT,HHTHH,HHTHT,HHTTH,HHTTT

TTHHH,TTHHT,TTHTH,TTHTT,TTTHH,TTTHT,TTTTH,TTTTT

There are 32 choices

Count the number of heads over the total number

P(0 head) = 1 /32

p(1 head) = 5/32

P (2head) = 10/32 = 5/16

P (3 head) = 10/32 = 5/16

P(4 heads) = 5/32

P (5 heads) = 1/32

Count the number of tails over the total number

P(0 tails) = 1 /32

p(1 tails) = 5/32

P (2 tails) = 10/32 = 5/16

P (3 tails) = 10/32= 5/16

P(4 tails) = 5/32

P (5 tails) = 1/32