Answer:
The probability is 0.0179 or 1.79%
Step-by-step explanation:
This is a binomial probability distribution.
The probability of success is
[tex]p = 0.41[/tex]
The probability of failure is
[tex]q = 1 - 0.41 = 0.59[/tex]
Use the formula;
[tex]P(X=x)=^nC_xp^xq^{n-x}[/tex]
where n=6 is the number of trials and x=4 is the number of successes.
This implies that:
[tex]P(X=4)=^6C_4(0.41)^4(0.59)^{6}[/tex]
This simplifies to:
[tex]P(X=4) = 0.0179[/tex]
