Answer:
Option 3 -The variable X has a binomial distribution. P(success)=0.5; number of trials = 5
Step-by-step explanation:
Given : A 6 sided number cube is rolled five times, X is the number of times an even number is rolled.
To find : Which statement is true about this situation?
Solution :
We have seen the situation is of binomial distribution,
The binomial distribution is defined as,
\(^n\sum_{k=0} C_{n,k} p^k(1-p)^{n-k}=1\)
with X being the number of times an even is rolled
and there are 2 possible outcomes in a given set of trials (say even and odd results on a die), the probability of success is \(\frac{1}{2}\)
and there is a fixed number of trials (say like 5).
So, the binomial is
\(=C_{5,X} \frac{1}{2}^X(1-p)^{5-X}\)
Therefore, Option 3 is correct.
The correct statement - The variable X has a binomial distribution. P(success)=0.5; number of trials = 5
