To determine the values of the variables in the binomial probability formula for the given statement "What is the probability of getting exactly 5 'heads' in 10 coin flips?", we can establish the following:
1. Total number of coin flips (n):
- This represents the number of trials in our binomial experiment. Since we are flipping the coin 10 times, we set [tex]\( n = 10 \)[/tex].
2. Probability of getting a "head" in each flip (p):
- Each coin flip is an independent event with two possible outcomes: heads or tails. Since it is a fair coin, the probability of getting heads on any single flip is [tex]\(\frac{1}{2}\)[/tex] or [tex]\( 0.5 \)[/tex]. Therefore, [tex]\( p = 0.5 \)[/tex].
3. Number of successful outcomes ("heads") we are interested in (k):
- The problem asks for the probability of getting exactly 5 heads. Thus, we set [tex]\( k = 5 \)[/tex].
In summary, for the given statement, the values of the variables are:
[tex]\[
n = 10
\][/tex]
[tex]\[
p = 0.5
\][/tex]
[tex]\[
k = 5
\][/tex]
