Answer:
a) 0.004
The probability of getting exactly 8 heads
P(X=8) = 0.004
Step-by-step explanation:
Explanation:-
The probability of getting a Head, p = [tex]\frac{1}{2}[/tex]
The probability of getting a Tail, q = [tex]\frac{1}{2}[/tex]
A coin is flipped 8 times
n = 8
Let 'X' be the random variable in a binomial distribution
[tex]P(X=r) = nC_{r} (p )^{r} q^{n-r} \\nc_{n} = 1[/tex]
The probability of getting exactly 8 heads
[tex]P(X=8) = 8C_{8} (\frac{1}{2} )^{8} (\frac{1}{2} )^{8-8}[/tex]
[tex]P(X=8) =(\frac{1}{2} )^{8} = 0.0039[/tex]
Final answer:-
The probability of getting exactly 8 heads
P(X=8) =0.0039≅ 0.004
