Answer: Probability of exactly four success is 0.01536.
Step-by-step explanation:
Since we have given that
Number of trails = 5
Probability of success is given by
[tex]40\%=0.4[/tex]
Probability of failure is given by
[tex]1-0.4=0.6[/tex]
Number of success = 4
As we know the formula for "Binomial distribution":
[tex]P(X=x)=^nC_xp^{n-x}q^x\\\\Here,\\\\\text{ p denotes probability of success}\\\\\text{q denotes probability of failure}[/tex]
So, it becomes,
[tex]P(X=4)=^5C_4(0.4)^4(0.6)\\\\P(X=4)=1\times 0.4^4\times 0.6\\\\P(X=4)=0.01536[/tex]
Hence , Probability of exactly four success is 0.01536.
