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

see below

Step-by-step explanation:

First we need to list the sample space

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

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

,T,HHHTH,HHHTT,HHTHH,HHTHT,HHTTH,HHTTT

TTHHH,TTHHT,TTHTH,TTHTT,TTTHH,TTTHT,H,

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

the answer is a

step-by-step explanation: