Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Number of times the coin is flipped = 25 times
Probability of getting head in each time = [tex]\frac{1}{2}[/tex]
Probability of not getting head in each turn = [tex]1-\frac{1}{2}=\frac{1}{2}[/tex]
So, by using "Binomial distribution", here n = 25 and
We need exactly 5 heads .
so, it will be written as
[tex]P(X=5)=^{25}C_{5}(\frac{1}{2})^5\times (\frac{1}{2})^{20}\\\\P(X=5)=^{25}C_5(0.5)^5\times (0.5)^{20}\\\\P(X=5)=0.00158[/tex]
Hence, Option 'A' is correct.
