Question

A coin is tossed 4 times. Let X be the number of times the coin lands heads side up in those 4 tosses.

Give all the value(s) of the random variable, X. List them separated commas if there is more than one.
X =  

Answer 1

solution:

From the given information

When a coin is tossed 4 times,

Sample space S = { HHHH , HHHT , HHTH , HHTT ,HTHH ,HTHT , HTTH , HTTT , THHH , THHT , THTH , THTT , TTHH , TTHT , TTTH , TTTT }

Where H - Heads , T - Tails

Let X be the random variable representing no.of heads that the coin shows upside.

Let's find the possible values of X

Here , X(HHHH) = 4

X(HHHT) = 3

X(HHTH) = 3

  X(HHTT) = 2

X(HTHH) = 3

  X(HTHT) = 2  

X(HTTH) = 2  

  X(HTTT) = 1  

  X(THHH) = 3  

X(THHT) = 2  

X(THTH) = 2  

  X(THTT) = 1  

X(TTHH) = 2  

  X(TTHT) = 1  

  X(TTTH) = 1  

X(TTTT) = 0

Therefore,The possible values of X = { 0,1,2,3,4}