Question

four coins are tossed let z be the random variable representing the number of head that occurs find the value of the random variable​

Answer 1

Step-by-step explanation:

We want to count the total number of heads obtained from those 4 tosses. ZZ is the random variable representing the number of heads that occur. We want to find the all possible values of ZZ.

Observe that, any one of the following cases may happen:

All the four outcomes are 'Tail'. So number of heads is 0. Hence, Z=0Z=0 in this case.

Any 3 of the 4 outcomes are 'Tail' and the remaining one is a 'Head' Hence, Z=1Z=1 in this case.

Any 2 of the 4 outcomes are 'Tail' and the remaining two are 'Head' Hence, Z=2Z=2 in this case.

Any 1 of the 4 outcomes is 'Tail' and the remaining three are 'Head' Hence, Z=3Z=3 in this case.

All the four outcomes are 'Head'. So number of heads is 4. Hence, Z=4Z=4 in this case.

Note that, the 5 cases listed above explores all possible outcomes. Hence, the random variable ZZ takes any one value from \{0,1,2,3,4\}{0,1,2,3,4}.

Answer 2

Answer:

The value of Random Variable or event Z is = {0,1,2,3,4}

Explanation:

What is probability ?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.  One is the probability of every event in a sample space.

When we flip a coin, there are only two potential results: Head OR Tail (H, T). However, if two coins are tossed, there are four outcomes that might occur: (H, H), (H, T), (T, H), and (T, T).

The value of Random Variable z is :

when 4 heads comes , z = 4

when 3 heads and 1 tail comes, z =3

when 2 heads and 2 tails comes, z = 2

when 1 head and 3 tails comes, z =1

and when 4 tails comes , z = 0

The value of Random Variable Z is = {0,1,2,3,4}

To learn more about Random Variable and Probability refer to  :

https://brainly.in/question/38350207?referrer=searchResults

https://brainly.in/question/18016864?referrer=searchResults

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