Answer to Question #188347 in Statistics and Probability for Aryang

Question

five coins are tossed let g be the random variable representing the number of heads that occur. find the values of the random variable g

Answer 1

When 5 coins are tossed, the following outcomes are likely to occur from each toss:

(Head or Tail).

The following cases are likely to be witnessed:

1. All five coins show up "Tail" $g=0$
2. Four coins show up "Tail" and one coin show up "Head" $g=1$
3. Three coins show up "Tail" and two coins show up "Head" $g=2$
4. Two coins show up "Tail" and three coins show up "Head" $g=3$
5. One coin how up "Tail" and four coins show up "Head" $g=4$
6. All five coins show up "Head" $g=5$

Thus, the values of random variable g are: {0, 1, 2, 3, 4, 5}